The GAP3 Manual -- Index
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
- .gaprc 56.4 56.8
- 2-groups 38.8
- 3-groups 38.9
/
for character tables 49.9
- bN 13.13
- cN 13.13
- dN 13.13
- Dn lattices 51.40
- eN 13.13
- fN 13.13
- gN 13.13
- hN 13.13
- iN 13.13
- jN 13.13
- kN 13.13
- lN 13.13
- mN 13.13
- nk 13.13
- rN 13.13
- sN 13.13
- tN 13.13
- uN 13.13
- vN 13.13
- wN 13.13
- xN 13.13
- yN 13.13
- AbelianComponent 70.5
- AbelianGenerators 103.16
- AbelianGroup 38.1
- AbelianGroup for ag groups 25.9
- AbelianInvariants for character tables 49.8
- AbelianInvariants for finitely presented groups 23.3
- AbelianInvariantsNormalClosureFpGroup 23.3
- AbelianInvariantsNormalClosureFpGroupRrs 23.3
- AbelianInvariantsSubgroupFpGroup 23.3
- AbelianInvariantsSubgroupFpGroupMtc 23.3
- AbelianInvariantsSubgroupFpGroupRrs 23.3
- absolute value of an integer 10.7
- abstract word 22.0
- AbstractWordTietzeWord 23.8
- accessing list elements 27.4
- accessing record elements 46.1
- action 79.0
- Actor for cat1-groups 80.126
- Actor for xmods 80.122
- ActorSquare for cat1s 80.114
- ActorSquare for xmods 80.114
- add an element to a list 27.7
- add an element to a set 28.4
- add elements to a list 27.8
- add the elements of a list 27.43
- AddBase for vector space 9.7
- AddGenerator 23.9
- AddOriginalEqnsRWS 67.2
- AddRelator 23.9
- Affine 102.1
- AffineRootAction 102.3
- AG generating sequence 24.1
- ag group 24.1
- Ag Groups 25.0
- AG system 24.1
- Ag Words 24.0
- Agemo for character tables 49.8
- AgGroup for Permutation Groups 21.21
- AgGroupQClass 38.13
- Algebra for MeatAxe Matrices 69.7
- AlgebraHomomorphismByLinearity 115.18
- AlgebraicCentre 86.13
- AllIrreducibleSolvableGroups 38.10
- AllPrimitiveGroups 38.5
- AllSmallGroups 38.14
- AllSolvableGroups 38.7
- AllThreeGroups 38.9
- AllTransitiveGroups 38.6
- AllTwoGroups 38.8
- AlmostCharacter 98.9
- AlphaInvolution 91.6
- AlternatingGroup 38.1
- AltInvolution 91.6
- and 45.2
- append elements to a list 27.8
- append one string to another 30.2
- append to a file 3.16
- Apple 56.9
- ApproxFollowMonodromy 113.8
- AsFraction 89.14
- AsGroup for ag groups 25.9
- AsReflection 82.2
- AsRootOfUnity 106.1
- assignment to a list 27.6
- assignment to a record 46.2
- assignment variable 2.12
- Associates for gaussians 14.7
- associativity 2.10
- AsWord 89.7
- Asymptotic algebra 93.15
- atomic irrationalities 13.13
- Augmentation 115.34
- augmented coset table 23.11 23.11
- Automata 67.6
- automatic groups program 67.6
- automorphism group of a character table 49.42
- automorphism group of a field 6.7
- automorphism group of a matrix 49.41
- automorphism group of an extension field 16.8
- automorphism group of number fields 15.8
- AutomorphismPermGroup for groups 80.141
- AutomorphismPermGroup for xmods 80.117
- Automorphisms of p-groups 71.4
- Automorphisms for character tables 49.8
- automorphisms of p groups 58.6 58.8
- backslash 30.0
- BadPrimes 85.5
- Base for MeatAxe Modules 69.19
- base of a number field 15.11
- Base of vector space 9.6
- base of vector space 32.0
- Basis 91.2 91.5 93.11 97.2
- BetaInvolution 91.6
- BigCellDecomposition 105.17
- BigNorm 114.1
- BipartiteDecomposition 89.22
- blank 2.3
- blist 29.0
- Blocks for Permutation Groups 21.22
- BlocksMat 105.3
- BnActsOnFn 113.10
- BNF 2.20
- body 2.18
- bound 2.7
- Bounds Elias 66.115
- Bounds Griesmer 66.116
- Bounds Hamming 66.112
- Bounds Johnson 66.113
- Bounds Plotkin 66.114
- Bounds Singleton 66.111
- Bounds Sphere packing bound 66.112
- Bounds UpperBound 66.117
- Braid 89.19
- BraidMonoid 89.18
- BraidRelations 83.7 84.16
- Brauer tables format 49.3
- BrauerTableOps 49.7
- BrieskornNormalForm 83.16 89.20
- Bruhat 83.21
- BruhatPoset 83.23
- BruhatSmaller 83.22
- ByDigits 115.2
- CallPCQA 70.3
- CallVE 73.2
- candidates for permutation characters 51.26 51.27
- Canonical basis 72.1
- Carmichaels lambda function 11.3
- Cartan matrices 85.1
- CartanMat 82.3 83.7 85.1
- CartanMatFromCoxeterMatrix 83.6
- CartanMatrix 115.31
- Cartesian 27.26
- Cartesian product 49.17
- CAS tables,CAS format,CAS 49.54
- Catalan 84.29
- Center for algebras 115.21
- Centralizer for semisimple elements 86.10
- Centralizer for ag groups 25.9
- Centralizer for matrix groups 37.2
- Centralizer for Permutation Groups 21.21
- centralizer in GL(d,ℤ) 61.24
- CentralizerAlgebra 115.20
- CentralizerGenerators 89.27
- Centre for class functions 54.4
- Centre for character tables 49.8
- Centre for xmods 80.124
- CF 15.4
- Character 93.7
- character table display 49.37
- character tables 49.11 53.0
- character tables access to 49.12
- character tables ATLAS 53.3
- character tables calculate 49.12
- character tables CAS 53.4 53.5
- character tables computation 49.13
- character tables conventions 49.10
- character tables format 49.2
- character tables generic 50.0 50.2 50.3
- character tables libraries of 53.1
- character tables of groups 49.12
- character tables sort 49.38 49.39 49.40
- character permutation 7.66
- CharacterDecomposition 115.28
- CharacterDegrees for character tables 49.8
- characteristic polynom of a field element 6.9
- characteristic of a finite field element 18.5
- CharacteristicPolynomial for MeatAxe matrices 69.7
- Characters of Finite Polycyclic Groups 49.26
- characters induce from cyclic subgroups 51.23
- characters induced 51.22
- characters inflated 51.21
- characters irreducible differences of 51.19
- characters permutation 51.26 51.27
- characters reduced 51.10 51.11
- characters restricted 51.20
- characters scalar product of 51.1 51.2
- characters sort 49.38
- characters symmetrisations of 51.13 51.14 51.15 51.16
- characters tensor products of 51.12
- CharName 103.9
- CharNames for reflection groups 87.2
- CharParams 95.5 103.8
- CharParams for reflection groups 87.3
- CharRepresentationWords 103.14
- CharTable 85.3 90.2 91.2 92.3 95.11 96.6 97.2
- CharTable for algebras 115.27
- CharTableOps 49.7
- CharTableQClass 38.13
- CheckHeckeDefiningRelations 92.2
- ChevieCharInfo 87.4 95.6 96.3
- ChevieClassInfo 87.1 95.10 96.5
- chinese remainder 10.11
- ChooseRandomElements 68.52
- class functions 52.1
- class multiplication coefficient 49.30 49.31 49.32
- class names 49.29
- classes collapse 51.24
- classes of cyclic subgroup 49.34
- classes real 49.33
- classes roots of 49.35
- ClassInvariants 85.3
- ClassTypes 96.13
- clone an object 46.11 46.12
- ClosedSubsystems 85.12
- Coefficient 91.6
- coefficient binomial 47.2
- Coefficients 112.2
- coefficients for cyclotomics 13.8
- Coefficients in vector space 9.10
- colorings inequivalent!for space groups 61.40
- CombinatoricSplit 49.13
- Comm for group elements 7.3
- Comm for words 22.4
- comments 2.3
- CommutatorFactorGroup for finitely presented groups 23.3
- Commutators 68.52
- CommutatorSubgroup for ag groups 25.9
- comparison of double cosets 7.96
- comparison of right cosets 7.88
- comparisons of booleans 45.1
- comparisons of finite field elements 18.2
- comparisons of integers 10.1
- comparisons of lists 27.12
- comparisons of polynomials 19.5
- comparisons of rationals 12.6
- comparisons of strings 30.4
- Complex 109.1
- ComplexConjugate 98.17 106.4 109.3 112.2
- ComplexRational 114.3
- ComplexReflectionGroup 84.6
- Composite for derivations 80.99
- Composite for morphisms of cat1-groups 80.71
- Composite for morphisms of crossed modules 80.45
- Composite for sections 80.100
- CompositionFactors for MeatAxe Modules 69.20
- CompositionMapping for Frobenius automorphisms 18.11
- CompositionMapping for GroupHomomorphismByImages 7.113
- CompositionMapping for GroupHomomorphismByImages for permutation groups 21.23
- Compositions 107.1
- CompositionSeries for Permutation Groups 21.21
- concatenation of lists 27.22
- concatenation of strings 30.2
- conductor 15.5
- ConjugacyClasses 85.3 95.5
- ConjugacyClasses for ag groups 25.9
- ConjugacyClasses for matrix groups 37.2
- ConjugacySet 89.26
- Conjugate Subgroup of Permutation Group 21.21
- conjugate of a group 7.117
- conjugate of a group element 7.3
- conjugate of a word 22.4
- ConjugatePresentation 114.5
- Conjugates for finite fields 18.13
- Conjugates for gaussians 14.6
- conjugates of a field element, Galois 6.12
- ConjugateSubgroup for ag groups 25.9
- convert a finite field element to an integer 18.8
- convert permutation to transformation 77.12
- convert relation to transformation 76.22
- convert to a list 27.2
- convert to a set 28.2
- convert to a string 30.1
- convert to an integer 10.6
- convert transformation to permutation 77.13
- convert transformation to relation 76.21
- copy an object 46.11 46.12
- Coset 7.86
- coset double 7.94 7.95
- Coset for Permutation Groups 21.21
- coset left 7.91 7.92
- coset right 7.86 7.87
- cosets double 7.93
- Cosets for Permutation Groups 21.21
- cosets left 7.90
- cosets right 7.85
- counting and enumerating irreducible words 67.8
- CoxeterCoset 96.1 97.2
- CoxeterElements 83.19
- CoxeterGroup 85.2 86.1 97.2
- CoxeterGroupByCartanMatrix 83.5
- CoxeterGroupByCoxeterMatrix 83.4
- CoxeterGroupHyperoctaedralGroup 83.2
- CoxeterGroupSymmetricGroup 83.1
- CoxeterLength 83.14
- CoxeterMatrix 83.3
- CoxeterSubCoset 96.2
- CoxeterWord 83.13
- CoxeterWords 83.20
- CreateHeckeBasis 91.10
- CreateHeckeModuleBasis 94.4
- CriticalPair 93.2
- cross product of lists 27.26
- crystallographic groups 38.13
- CrystGroup conjugated 61.10
- CrystGroups other functions 61.29
- CuspidalPairs 99.7
- CuspidalUnipotentCharacters 99.6
- Cut 114.8
- Cycles for signed permutations 108.4
- CyclicGroup 38.1
- CyclicGroup for ag groups 25.9
- cyclotomic field elements 13.1
- CyclotomicModP 115.6
- CycPol 106.2
- CycPolFakeDegreeSymbol 107.12
- CycPolGenericDegreeSymbol 107.11
- CycPolUnipotentDegrees 98.7
- DadeGroup 38.13
- DadeGroupNumbersZClass 38.13
- data type unknown 17.0
- DCT 74.133
- DCT\_I 74.137
- DCT\_IV 74.135
- DEC 51.3
- DecimalLog 114.2
- DecomposedMat 105.2
- decomposition matrix 51.3
- decomposition of polynomials 16.18
- DecompositionInt 51.4
- DecompositionMatrix 85.3
- DecompositionMatrix TeX 72.3
- default field for cyclotomics 15.5
- default functions 4.2
- default ring for cyclotomic integers 15.6
- DefaultField for algebraic extensions 16.10
- defect 16.15
- DefectSymbol 107.7
- Degree 112.2
- Degree for class functions 54.4
- Degree for elements of Grothendieck rings 115.36
- degree of a finite field element 18.6
- DeligneLusztigCharacter 98.8
- DeligneLusztigLefschetz 98.13
- denominator of a rational 12.3
- Derivations all 80.90
- Derivations regular 80.89
- Derivative 112.2
- DerivedSeries for ag groups 25.9
- DerivedSubgroup for character tables 49.8
- DescribeInvolution 85.9
- Determinant for characters 54.4
- determinant integer matrix 35.17
- DetPerm 87.13
- DFT 74.129
- DHT 74.131
- Diaconis-Graham normal form 35.18
- Dictionary 103.6
- difference of algebra elements 39.26
- difference of boolean lists 29.8
- difference of gaussians 14.2
- difference of list and algebra element 39.26
- difference of records 46.5
- DifferenceMultiSet 103.2
- Digits 115.1
- DihedralGroup 38.1
- Dimension for MeatAxe Modules 69.19
- Dimension of vector space 9.8
- dimension of vector space 32.0
- Dimensions for MeatAxe matrices 69.7
- direct product 49.17
- DirectProduct for ag groups 25.9
- DirectProduct for groups 7.100
- DirectProduct for Permutation Groups 21.21
- DirectProduct for xmods 80.28
- DirectProductPermGroupCentralizer 21.21
- DirectProductPermGroupCentre 21.21
- DirectProductPermGroupSylowSubgroup 21.21
- discrete logarithm of a finite field element 18.9
- Discriminant 84.28
- Discy 113.1
- dispatcher functions 4.2
- Dispersal 114.4
- Display for MeatAxe matrices 69.7
- Display for MeatAxe Permutations 69.12
- Display for presentations 113.12
- Display for character tables 49.8
- DisplayCrystalFamily 38.13
- DisplayCrystalSystem 38.13
- DisplayImfInvariants 38.12
- DisplayInformationPerfectGroups 38.11
- DisplayMat 68.52
- DisplayQClass 38.13
- DisplaySpaceGroupGenerators 38.13
- DisplaySpaceGroupType 38.13
- DisplayZClass 38.13
- distinguished 82.0
- divisors of an integer 10.23
- Dixon Schneider 49.12
- DixonInit 49.13
- DixonSplit 49.13
- DixontinI 49.13
- DnLatticeIterative 51.40
- do 2.17
- domain record for right cosets 7.89
- DoubleCosetGroupOps 7.96
- doublequotes 30.0
- DrinfeldDouble 98.22
- Dual 86.3
- DualBraid 89.24
- DualBraidMonoid 89.23
- E 13.1
- EAbacus 72.39
- EB 13.13
- EC 13.13
- ED 13.13
- EE 13.13
- EF 13.13
- EG 13.13
- EH 13.13
- EI 13.13
- EigenspaceProjector 99.4
- Eigenvalues 98.17
- EigenvaluesMat 105.1
- EJ 13.13
- EK 13.13
- EL 13.13
- ElementaryAbelianGroup 38.1
- ElementaryAbelianGroup for ag groups 25.9
- ElementaryAbelianSeries for ag groups 25.9
- ElementaryAbelianSeries for character tables 49.8
- ElementaryAbelianSeries for Permutation Groups 21.21
- ElementOfOrder 68.52
- Elements 83.7 85.3
- Elements for ag groups 25.5
- Elements for cat1-groups 80.55
- Elements for Conjugacy Classes 7.72
- Elements for conjugacy classes of subgroups 7.78
- Elements for double cosets 7.96
- Elements for finite fields 18.12
- Elements for finitely presented groups 23.2
- Elements for groups 7.114
- Elements for Permutation Groups 21.20
- Elements for right cosets 7.88
- Elements for Transformation Monoids 78.7
- Elements for vector spaces 9.4
- Elements for xmods 80.18
- Elements of a D class of transformations 78.13
- elements of a domain 4.6
- Elements of a Green class 75.22
- Elements of an H class of transformations 78.10
- Elements of an L class of transformations 78.12
- Elements of an R class of transformations 78.11
- ElementWithCharPol 68.52
- ElementWithInversions 85.8
- elif 2.14
- else 2.14
- EltBraid 89.17 89.25
- EltWord 83.12 84.1
- EM 13.13
- Embedding into direct products 7.99
- Embedding into semidirect products 7.101
- embeddings of lattices 51.36
- end 2.18
- Ennola 98.6
- EnumerateRWS 67.8
- environment 2.18
- equality for field homomorphisms 6.16
- equality of ag words 24.2
- equality of algebra elements 39.26
- equality of amats 74.43
- equality of areps 74.85
- equality of gaussians 14.1
- equality of group elements 7.2
- equality of group homomorphisms 7.109
- equality of monoid elements 75.1
- equality of mons 74.3
- equality of records 46.4
- equality of relations 76.7
- equality of transformations 77.4
- ER 13.13
- errors syntax 3.1
- ES 13.13
- ET 13.13
- EU 13.13
- EuclideanDegree for gaussians 14.7
- EuclideanDegree for polynomials 19.22 19.23
- EuclideanQuotient for gaussians 14.7
- EuclideanQuotient for polynomials 19.22
- EuclideanRemainder for gaussians 14.7
- EuclideanRemainder for polynomials 19.22
- Eulers totient function 11.2
- EV 13.13
- evalf 109.5
- EvaluateRelation 68.36
- evaluation 2.6
- EW 13.13
- EX 13.13
- execution 2.11
- Exp 109.10
- Expand 90.7
- Exponent for character tables 49.8
- exponent of the prime residue group 11.3
- ExponentsPermSolvablePermGroup 21.21
- ExtendedReflectionGroup 85.11
- ExtendPCQA 70.4
- ExteriorPower 105.7
- EY 13.13
- factor group table of 49.15
- Factor for xmods 80.40
- FactorGroup for ag groups 25.58
- factorization of an integer 10.22
- FactorizedSchurElement 90.6
- FactorizedSchurElements 90.5
- FactorizeQuadraticForm 112.8
- Factors for gaussians 14.7
- Factors for polynomials 19.22 19.23
- FakeDegree 87.6
- FakeDegrees 87.5
- FamiliesClassical 98.20
- Family 98.16
- FamilyImprimitive 98.21
- fast Fourier transform 74.123
- features under UNIX 56.4
- features under Windows 56.8
- fi 2.14
- Field Extensions 16.0
- field homomorphisms Frobenius 18.11
- field homomorphisms of algebraic extensions 16.9
- field cyclotomic 15.4
- field finite 18.0
- Field for algebraic extensions 16.10
- field for cyclotomics 15.5
- field galois 18.0
- field number 15.3
- file append to a 3.16
- file load a 3.12
- file load a library 3.13
- file log input to a 3.18
- file log to a 3.17
- file print to a 3.15
- file read a 3.12
- file read a library 3.13
- find an element in a list 27.15
- find an element in a sorted list 27.16 27.17
- FindRoots 114.7
- Fingerprint for MeatAxe Matrix Algebras 69.16
- FinishFundamentalGroup 111.2
- finiteness test for domains 4.9
- FirstLeftDescending 83.9
- FittingSubgroup for character tables 49.8
- Floor 12.4
- Fock space 72.1
- FollowMonodromy 113.7
- for 2.17
- for loop 2.17
- ForEachCoxeterWord 83.26
- ForEachElement 83.25
- Format 104.4
- FormatGAP 104.4
- FormatLaTeX 104.4
- FormatMaple 104.4
- FormatTable 104.3
- FormatTeX 104.4
- Fourier 98.17
- Fourier transform 74.93 74.123
- FpAlgebraOps.OperationQuotientModule 73.2
- FpGroup for ag groups 25.9
- FpGroup for CrystGroups 61.12
- FpGroup for point groups 61.11
- FpGroup for space groups 38.13
- FpGroupPresentation 23.8
- FpGroupQClass 38.13
- FpGroupToRWS 67.1
- Frame 51.17
- FrattiniSubgroup for character tables 49.8
- Frobenius 86.9 89.20 91.6 96.7 98.4
- Frobenius group 38.5
- Frobenius Schur indicator 51.7
- ftp 56.1
- full relation monoid 76.0
- full transformation monoid 78.3
- function 2.18
- FundamentalGroup 86.5 111.1
- fusion map get 49.45
- fusion of classes 49.22
- fusion store 49.46
- FusionAlgebra 98.24
- FusionConjugacyClasses 85.3 95.5
- FusionConjugacyClasses for character tables 49.8
- fusions 52.13
- Galois 16.16
- galois automorphism 13.11 13.12
- galois conjugate characters 13.16
- galois conjugate unique 13.14
- Galois conjugates of a field element 6.12
- galois conjugation 13.11 13.12
- galois field 18.0
- Galois group of a field 6.7
- Galois group of an extension field 16.8
- GaloisGroup for finite fields 18.13
- GAP for Windows 56.5
- gap.rc 56.8
- GarsideAlpha 89.8
- GarsideWords 89.3
- Gcd for polynomials 19.22 19.23
- GcdPartitions 110.3
- GeneralizedSolomonAlgebra 115.40
- GeneralLinearGroup 38.1
- GeneralUnitaryGroup 38.1
- generator of the prime residue group 11.5 11.6
- generators of Galois group 15.7
- generic character tables 49.11 53.0
- GenericDegrees 92.8
- GenericOrder 84.22 95.5
- GenericParameters 68.23
- GetRoot 103.7 109.8
- GF 18.10
- GoodCoxeterWord 89.21
- GoodNodeSequences 72.30
- grading 79.0
- GraphAutomorphisms 96.8
- GreenTable 100.4
- GrothendieckRing 115.35
- Group for MeatAxe Matrices 69.7
- group homomorphisms by images 7.113
- group homomorphisms conjugation 7.111
- group homomorphisms inner 7.112
- group homomorphisms natural 7.110
- group homomorphisms operation 8.21
- Group for ag groups 25.9
- GroupAlgebra 115.33
- GroupHomomorphismsByImages for permutation groups 21.23
- H.Ordering Specht 72.3
- Hasse 110.5
- HClasses of a D class of transformations 78.13
- HClasses of an L class of transformations 78.12
- HClasses of an R class of transformations 78.11
- Hecke 90.1 91.1 91.6 97.1
- Hecke algebras crystal decomposition matrix 72.4
- Hecke algebras decomposition matrix 72.3
- Hecke Specht 72.1
- HeckeCentralMonomials 90.10
- HeckeCharValues 90.12 91.8
- HeckeCharValuesGood 92.10
- HeckeClassPolynomials 91.7
- HeckeReflectionRepresentation 92.1
- HeckeSubAlgebra 91.4
- help abbreviating 3.10
- help browsing 3.8
- help format 3.7
- help index 3.11
- help redisplaying 3.9
- help scrolling 3.6
- Hermann-Mauguin symbol 38.13
- HighestPowerFakeDegrees 87.8
- HighestPowerGenericDegrees 87.11 90.9
- HighestPowerGenericDegreeSymbol 107.14
- HighestShortRoot 85.4
- HirschLength 70.6
- homomorphisms by images, group 7.113
- homomorphisms conjugation, group 7.111
- homomorphisms Frobenius, field 18.11
- homomorphisms inner, group 7.112
- homomorphisms natural, group 7.110
- homomorphisms of algebras 39.24
- homomorphisms of fields 6.13
- homomorphisms of groups 7.106
- homomorphisms of monoids 75.26
- homomorphisms operation, group 8.21
- HT 74.143
- HyperplaneOrbits 84.15
- ICCTable 100.2
- ideal decomposition 16.18
- Idempotents 115.29
- IdGroup 38.14
- IdWord 22.0
- if 2.14
- if statement 2.14
- Image for a derivation 80.80
- Image for blocks homomorphisms 21.23
- Image for field homomorphisms 6.16
- Image for Frobenius automorphisms 18.11
- Image for group homomorphisms 7.109
- Image for GroupHomomorphismByImages 7.113
- Image for GroupHomomorphismByImages for permutation groups 21.23
- Image for OperationHomomorphism 8.21
- Image for transitive constituent homomorphisms 21.23
- Image for xmod morphisms 80.42
- image of set under relation 76.8
- image under relation 76.8
- image under transformation 77.5
- Images for a derivation 80.81
- Images for field homomorphisms 6.16
- Images for group homomorphisms 7.109
- ImagesRepresentative for GroupHomomorphismByImages 7.113
- ImfInvariants 38.12
- ImfMatGroup 38.12
- ImfNumberQClasses 38.12
- ImfNumberQZClasses 38.12
- ImfNumberZClasses 38.12
- in for ag groups 25.5
- in for algebraic Elements 16.5
- in for Conjugacy Classes 7.72
- in for conjugacy classes of subgroups 7.78
- in for D class of transformations 78.13
- in for domains 4.8
- in for finite fields 18.12
- in for finitely presented groups 23.2
- in for gaussians 14.5
- in for Green classes 75.22
- in for H class of transformations 78.10
- in for L class of transformations 78.12
- in for matrix groups 37.1
- in for R class of transformations 78.11
- in for records 46.6
- in for Transformation Monoids 78.7
- Incidence 110.6
- IncludeIrreducibles 49.13
- InclusionMorphism for cat1-groups 80.74
- InclusionMorphism for groups 80.132
- InclusionMorphism for xmods 80.37
- IndependentLines 105.11
- Index for finitely presented groups 23.3
- Induced for character tables 49.8
- InducedLinearForm 100.7
- InductionTable 95.5 103.13
- InfoLattice1 7.75
- Inherit 103.5
- initialize classlengths 49.27
- InnerActor for xmods 80.125
- InnerAutomorphism for xmods 80.10 80.43
- InnerAutomorphismGroup for groups 80.137
- InnerDerivations list 80.83
- InnerMorphism for xmods 80.123
- installation 56.0
- installation under UNIX 56.3
- installation under Windows 56.7 56.7
- integer part of a quotient 10.3
- IntegralizedMat 51.4
- IntermediateGroup 86.6
- Intersection for MeatAxe Modules 69.18
- Intersection for ag groups 25.5
- Intersection for double cosets 7.96
- Intersection for finite fields 18.12
- Intersection for finitely presented groups 23.2
- Intersection for groups 7.114
- Intersection for matrix groups 37.1
- Intersection for Permutation Groups 21.20
- Intersection for right cosets 7.88
- intersection of boolean lists 29.7 29.10
- intersection of domains 4.12
- intersection of sets 28.7 28.9
- Intersection of vector spaces 9.4
- IntListToString 104.2
- InvariantForm 84.11
- Invariants 84.27
- InvDCT 74.134
- InvDCT\_I 74.138
- InvDCT\_IV 74.136
- InvDFT 74.130
- InvDHT 74.132
- inverse of relation 76.8
- inverse of transformation 77.5
- InverseMapping for GroupHomomorphismByImages 7.113
- InverseMatMod 51.4
- Inversions 85.7
- InvHT 74.144
- InvRHT 74.146
- InvST 74.142
- InvWHT 74.140
- irrationalities 13.0
- irreducible maximal finite integral matrix groups 38.12
- IrreducibleSolvableGroup 38.10
- IsAbelian for finite dimensional algebras 115.16
- IsAbelian for character tables 49.8
- IsAbsolutelyIrreducible for MeatAxe Modules 69.20
- IsAlgebraElement 115.15
- IsAssociated for gaussians 14.7
- IsAssociative for finite dimensional algebras 115.17
- IsAutomorphism for crossed modules 80.33
- IsAvailableNormalForm 67.2
- IsAvailableReductionRWS 67.2
- IsComplex 109.4
- IsConfluentRWS 67.2
- IsCoset 7.87
- IsCyclic for ag groups 25.9
- IsCyclic for character tables 49.8
- IsCycPol 106.3
- IsDecimal 109.11
- IsDiagonal 68.52
- IsEndomorphism for crossed modules 80.33
- IsEpimorphism for crossed modules 80.33
- IsEquivalent for MeatAxe Modules 69.20
- IsExtensionField 68.23
- IsFamily 98.18
- IsFinite for ag groups 25.9
- IsFinite for double cosets 7.96
- IsFinite for right cosets 7.88
- IsFinite for vector spaces 9.4
- IsFpAlgebraElement 40.9
- IsGeneric 68.23
- IsGenericNearlySimple 68.23
- IsHomomorphism for fields 6.14
- IsHomomorphism for groups 7.107
- IsInjective for field homomorphisms 6.16
- IsInjective for group homomorphisms 7.109
- IsIrreducible for MeatAxe Modules 69.20
- IsIrreducible for gaussians 14.7
- IsIsolated 86.15
- IsIsomorphism for crossed modules 80.33
- IsJoinLattice 110.12
- IsLeftDescending 83.8
- IsMapping for GroupHomomorphismByImages 7.113
- IsMapping for GroupHomomorphismByImages for permutation groups 21.23
- IsMeatAxeMat 69.4
- IsMeatAxePerm 69.9
- IsMeetLattice 110.13
- IsMonomial for characters 55.11
- IsMonomial for group orders 55.11
- IsMonomial for groups 55.11
- IsMonomorphism for crossed modules 80.33
- IsMvp 112.3
- IsNilpotent for ag group 25.9
- IsNilpotent for character tables 49.8
- IsNormal for ag groups 25.9
- IsNormal for xmods 80.38
- IsNormalizing 105.10
- isoclinic table 49.20
- IsomorphismType 84.5
- IsParabolic 84.25
- IsPerfect for ag group 25.9
- IsPrime for gaussians 14.7
- IsQuasiIsolated 86.16
- IsQuasiPrimitive 55.6
- IsRatFrac 112.13
- IsReducedWordRWS 67.7
- IsRModule for xmods 80.26
- IsRWS 67.2
- IsScalar 68.52
- IsSemiRegular for Permutation Groups 21.22
- IsSimple for character tables 49.8
- IsSolvable for character tables 49.8
- IsSolvable for Permutation Groups 21.21
- IsSubgroup for ag groups 25.9
- IsSubnormallyMonomial 55.9
- IsSubset for ag groups 25.5
- IsSubset for groups 7.114
- IsSubset for sets 28.9
- IsSupersolvable for character tables 49.8
- IsSurjective for field homomorphisms 6.16
- IsSurjective for group homomorphisms 7.109
- IsTrivial for groups 7.64
- IsUnipotentElement 101.3
- IsUnit for gaussians 14.7
- IsUnit for matrix rings 36.2
- IsWyckoffPosition 61.17
- iterate a function over a list 27.47
- jInductionTable 88.6
- JInductionTable 88.7
- KazhdanLusztigCoefficient 93.3
- KazhdanLusztigMue 93.4
- KazhdanLusztigPolynomial 93.1
- KB 67.5
- kbmag 67.0
- Kernel for class functions 54.4
- Kernel for blocks homomorphisms 21.23
- Kernel for fields 6.15
- Kernel for groups 7.108
- Kernel for OperationHomomorphism 8.21
- Kernel for xmod morphisms 80.41
- Knuth-Bendix 67.5
- Kronecker product 49.17
- KroneckerFactors 68.12
- KroneckerProduct for MeatAxe matrices 69.7
- KroneckerProduct for MeatAxe Modules 69.20
- larger prime 10.20
- LargestPrimeOrderElement 68.52
- LargestPrimePowerOrderElement 68.52
- last 3.1
- lattice base reduction 51.33 51.34 51.35
- Lattice for MeatAxe Modules 69.20
- LaurentDenominator 112.6
- LBraidToWord 113.9
- LClasses of a D class of transformations 78.13
- LcmPartitions 110.2
- LeftCell 93.6
- LeftCells 93.5
- LeftDescentSet 83.10
- LeftDivisors 89.16
- LeftDivisorsSimple 89.15
- LeftGcd 89.9
- LeftIdeal 115.22
- LeftIndecomposableProjectives 115.30
- LeftLcm 89.10
- LeftNormedComm for group elements 7.3
- LeftQuotient for group elements 7.3
- LeftQuotient for words 22.4
- LeftTraces 115.22
- length of a list 27.5
- length of a word 22.6
- LenstraBase 15.10
- libraries of character tables 53.1
- library of character tables 53.3 53.4 53.5
- library tables 49.11 53.0
- library tables add 53.7
- library tables generic 50.0
- LinearCombination in vector space 9.9
- LinearExtension 110.7
- LinearIndependentColumns 51.4
- List for InverseDerivations 80.104
- list of primes 10.17
- ListERegulars 72.53
- lists boolean 29.0
- Lists positionsublist 27.21
- LLL algorithm for characters 51.35
- LLL algorithm for Gram matrices 51.34
- LLL algorithm for vectors 51.33
- load a file 3.12
- load a library file 3.13
- local 2.18
- LoewyLength 115.26
- log input to a file 3.18
- log to a file 3.17
- logarithm of an integer 10.12
- logarithm of a finite field element, discrete 18.9
- logical 45.0
- logical operations 45.2
- LongestCoxeterElement 83.17
- LongestCoxeterWord 83.18
- loop for 2.17
- loop read eval print 3.1
- loop repeat 2.16
- loop while 2.15
- LoopsAroundPunctures 113.6
- LowerCentralSeries for ag groups 25.9
- LowerCentralSeries for character tables 49.8
- LowestPowerFakeDegrees 87.7
- LowestPowerGenericDegrees 87.10 90.8 92.9
- LowestPowerGenericDegreeSymbol 107.13
- Lusztigaw 93.16
- LusztigAw 93.17
- LusztigInduction 98.10
- LusztigInductionTable 98.12
- LusztigRestriction 98.11
- Mac/OSX 56.9
- Macintosh 56.9
- map 27.2
- map composition 52.2
- map indeterminateness 52.10
- map indirection by a 52.29
- map inverse of a 52.3
- map parametrize 52.5
- map parametrized 52.1
- maps 52.0
- MatGroupZClass 38.13
- MathieuGroup 38.1
- Matrices block decomposition of 105.3
- Matrices block decomposition of square 105.2
- Matrices direct sum of 34.12
- Matrices Eigenvalues 105.1
- Matrices permutation 34.13
- matrix 34.0
- matrix automorphisms 52.26 52.28
- Matrix Representations of Finite Polycyclic Groups 49.25
- MatStab 105.14
- MatXPerm 84.8
- MatYPerm 84.10
- MaximalNormalSubgroups for character tables 49.8
- MaximalSubgroupsRepresentatives for CrystGroups 61.13
- maximum of a list 27.45
- maximum of integers 27.45
- membership test for ag groups 25.5
- membership test for algebraic extensions 16.5
- membership test for D class of transformations 78.13
- membership test for domains 4.8
- membership test for finite fields 18.12
- membership test for gaussians 14.5
- membership test for Green classes 75.22
- membership test for H class of transformations 78.10
- membership test for L class of transformations 78.12
- membership test for R class of transformations 78.11
- membership test for records 46.6
- membership test for Transformation Monoids 78.7
- membershiptest for groups 7.117
- mersenne primes 10.24
- minimal polynom of a field element 6.8
- minimum of a list 27.46
- minimum of integers 27.46
- MOC interface to 49.48 49.49 49.50 49.51 49.52 49.53
- mod for character tables 49.9
- Mod1 12.5
- Modified Todd-Coxeter 23.11
- modular roots 11.10
- Module for MeatAxe Matrix Algebras 69.16
- ModuleAction 70.7
- ModuleBasis 94.1
- Moebius inversion function 10.26
- monoid of all binary relations 76.0
- Monomial Representations of Finite Polycyclic Groups 49.25
- Morphism for cat1-groups 80.61
- Morphism for xmods 80.29
- multiplicative order of an integer 11.4
- multiply the elements of a list 27.42
- multisets 28.0
- Murnaghan components 51.17 51.18
- Mvp 112.1
- MvpGcd 112.9
- MvpLcm 112.10
- Name for cat1-groups 80.51
- Name for cat1-morphisms 80.63
- Name for xmod morphisms 80.32
- Name for xmods 80.7
- NaturalModule for MeatAxe Matrix Algebras 69.16
- newline 2.3
- NewtonRoot 113.3
- NF 15.3
- NilpotentQuotient 57.10
- NK 13.13
- NoMessageScalarProduct for character tables 49.8
- Norm for class functions 54.4
- Norm for algebraic extensions 16.10
- Norm for finite fields 18.13
- Norm for gaussians 14.6
- norm of a field element 6.10
- normal subgroup table of 49.16
- NormalClosure for character tables 49.8
- NormalIntersection for ag groups 25.9
- NormalizedAutomorphisms 71.4
- NormalizedOuterAutomorphisms 71.4
- Normalizer for ag groups 25.9
- Normalizer for finitely presented groups 23.3
- Normalizer for matrix groups 37.2
- Normalizer for Permutation Groups 21.21
- normalizer in GL(d,ℤ) 61.23
- normalizer in affine group 61.27
- normalizer in translation group 61.26
- NormalizerZClass 38.13
- NormalSubgroups for character tables 49.8
- not 45.2
- NotifyCharTable 53.7
- NrCombinations 47.6
- NrCrystalFamilies 38.13
- NrCrystalSystems 38.13
- NrDadeGroups 38.13
- NrDerangements 47.11
- NrDrinfeldDouble 98.23
- NrOrderedPartitions 47.14
- NrPartitions 47.13
- NrPartitionsSet 47.12
- NrPartitionTuples 47.21
- NrPermutationsList 47.10
- NrQClassesCrystalSystem 38.13
- NrRestrictedPartitions 47.15
- NrSpaceGroupTypesZClass 38.13
- NrTuples 47.9
- NrUnorderedTuples 47.8
- NrZClassesQClass 38.13
- number fields Galois group 15.8
- number Bell 47.3
- number binomial 47.2
- number of divisors of an integer 10.25
- number of elements in a list 27.27
- number Stirling, of the first kind 47.4
- number Stirling, of the second kind 47.5
- NumberPerfectGroups 38.11
- NumberPerfectLibraryGroups 38.11
- NumberSmallGroups 38.14
- numerator of a rational 12.2
- od 2.17
- Omega for characters 54.4
- OneIrreducibleSolvableGroup 38.10
- OnePrimitiveGroup 38.5
- OneSolvableGroup 38.7
- OneThreeGroup 38.9
- OneTwoGroup 38.8
- OnFamily 98.19
- OnLClasses 79.1
- OnLeft 8.1 79.1
- OnLeftAntiOperation 8.1
- OnLeftCosets 8.1
- OnLeftInverse 8.1
- OnLines 8.1
- OnMatrices 105.12
- OnPairs 8.1 79.1
- OnPoints 8.1 79.1
- OnPolynomials 112.7
- OnRClassesAntiAction 79.1
- OnRight 8.1 79.1
- OnRightCosets 8.1
- OnSets 8.1 79.1
- OnTuples 8.1 79.1
- Operation for MeatAxe Matrix Groups 69.14
- OperationHomomorphism for Modules 42.17
- OperationHomomorphism for blocks 21.23
- OperationHomomorphism for transitive constituents 21.23
- OperationModule 42.17
- Operations for algebraic elements 16.4
- operations record 4.2
- operations for booleans 45.2
- operations for groups 7.117
- operations for integers 10.2
- operations for lists 27.13
- operations for polynomials 19.6
- operations for rationals 12.7
- operations for vectors 32.1
- operators for cyclotomics 13.9 13.10
- options 56.0
- options under UNIX 56.4
- options under Windows 56.8
- or 45.2
- Orbit for ag groups 25.9
- OrbitMat 68.45
- Order for MeatAxe matrices 69.7
- Order for MeatAxe Permutations 69.12
- Order for finitely presented groups 23.3
- Order for xmod morphisms 80.44
- order of a finite field element 18.7
- order of a group element 7.5
- order of the prime residue group 11.2
- ordering of ag words 24.2
- ordering of algebra elements 39.26
- ordering of amats 74.43
- ordering of areps 74.85
- ordering of gaussians 14.1
- ordering of group elements 7.2
- ordering of group homomorphisms 7.109
- ordering of monoid elements 75.1
- ordering of mons 74.3
- ordering of records 46.4
- ordering of relations 76.7
- ordering of transformations 77.4
- OrthogonalEmbeddingsSpecialDimension 51.36
- OuterAutomorphisms 71.4
- output suppressing 3.1
- p-regular table 49.19
- PadicCoefficients 51.4
- PAG system 24.1
- Pair for automorphism groups 80.139
- Pair for FpGroups 80.142
- Pair for semidirect groups 80.144
- ParabolicClosure 84.26
- ParabolicRepresentatives 83.28 84.24
- ParabolicSubgroups 85.10
- paramap 52.1
- parametrized maps 52.0
- Parity check 66.87
- part of a string 30.3
- PartBeta 107.2
- partial transformation 78.4
- Partition 110.9
- partitions 47.0
- partitions improper, of an integer 47.14
- partitions of a set 47.12
- partitions of an integer 47.13
- partitions ordered, of an integer 47.14
- partitions restricted, of an integer 47.15
- PartitionTuples 47.21
- PartitionTupleToString 107.4
- PBlocks 115.11
- perfect groups 38.11
- PerfectGroup 38.11
- PermCosetsSubgroup 88.4
- PermGroup for Imf matrix groups 38.12
- PermGroup for matrix groups 37.2
- PermGroup for perfect groups 38.11
- PermGroupImfGroup 38.12
- PermMatMat 105.15
- PermMatX 84.9
- PermMatY 85.6
- PermRootGroup 84.2
- PermRootGroupNC 84.2
- permutation character 52.19
- permutation characters 51.31
- permutation characters candidates for 51.26 51.27
- permutation characters faithful candidates for 51.32
- PermutationCharacter 21.21
- PermutationMat for signed permutations 108.2
- PermutationOnCharacters 103.12
- PermutationOnClasses 103.11
- PermutationOnUnipotents 98.14
- permutations fixpointfree 47.11
- permutations list 47.10
- Permuted for signed permutations 108.1
- PermutedByCols 105.13
- Pi 109.9
- PiComponent 115.7
- PiPart 115.5
- PiPrimeSections 115.9
- PiSections 115.8
- PoincarePolynomial 92.5
- PointGroup for color CrystGroups 61.39
- PointGroup of a CrystGroup 61.6
- PolyhedralGroup 38.1
- PolynomialQuotientAlgebra 115.32
- Poset 110.4
- Poset Restricted 110.10
- Poset Reversed 110.11
- PositionClass 85.3 95.5
- PositionDet 87.12
- PositionId 103.10
- PositionRegularClass 99.3
- power of algebra elements 39.26
- power of gaussians 14.2
- power of group elements 7.3
- power of monoid elements 75.2
- power of records 46.5
- power of relation 76.8
- power of transformation 77.5
- power of words 22.4
- powermaps 52.12 52.14 52.15 52.16 52.17 52.23 52.26 52.28
- powerset 47.6
- PRank 115.10
- precedence 2.10
- PreImage for blocks homomorphisms 21.23
- PreImage for field homomorphisms 6.16
- PreImage for group homomorphisms 7.109
- PreImage for OperationHomomorphism 8.21
- PreImages for field homomorphisms 6.16
- PreImages for group homomorphisms 7.109
- PreImages for transitive constituent homomorphisms 21.23
- PrepareFundamentalGroup 111.2
- Presentation 89.4
- PresentationFpGroup 23.8
- PresentationNormalClosure 23.11
- PresentationNormalClosureRrs 23.11
- PresentationSubgroup 23.11
- PresentationSubgroupMtc 23.11
- PresentationSubgroupRrs 23.11
- PresentationViaCosetTable 23.10
- previous result 3.1
- primary subgroup generators 23.11 23.11 23.14
- prime residue group 11.0 11.1
- prime residue group exponent 11.3
- prime residue group generator 11.5 11.6
- prime residue group order 11.2
- primes mersenne 10.24
- primitive element 16.3
- primitive root modulo an integer 11.6
- PrimitiveGroup 38.5
- Print for cat1-group morphism 80.64
- Print for cat1-groups 80.50
- Print for character tables 49.8
- Print for double cosets 7.96
- Print for lists 80.146
- Print for right cosets 7.88
- Print for xmod morphisms 80.31
- Print for xmods 80.5 80.16
- print to a file 3.15
- PrintClassSubgroupLattice 7.75 7.75
- PrintDiagram 84.17 85.3 95.5
- PrintLevelFlag 68.37
- PrintToLib 53.7
- product for double cosets 7.96
- product for right cosets 7.88
- product of a group and a group element 7.117
- product of algebra elements 39.26
- product of gaussians 14.2
- product of group elements 7.3
- product of list and algebra element 39.26
- product of list and group element 7.3 22.4
- product of list and monoid element 75.2
- product of list and relation 76.8
- product of list and transformation 77.5
- product of monoid elements 75.2
- product of permutation and relation 76.8
- product of permutation and transformation 77.5
- product of records 46.5
- product of relations 76.8
- product of transformation and relation 76.8
- product of transformations 77.5
- product of words 22.4
- Projection for subdirect products 7.103
- Projection onto component of direct products 7.99
- Projection onto component of semidirect products 7.101
- ProjectiveOrderMat 68.47
- prompt 3.1
- prompt partial 3.1
- ProportionalityCoefficient 105.6
- quadratic irrationalities 13.15
- quadratic number fields 13.15
- quadratic residue 11.7 11.8 11.9
- QuasiIsolatedRepresentatives 86.17
- quotient of gaussians 14.2
- quotient of group elements 7.3
- quotient of groups 7.117
- quotient of list and group element 7.3
- quotient of list and word 22.4
- quotient of records 46.5
- quotient of transformations 77.11
- quotient of words 22.4
- QuotientAlgebra 115.23
- QuotientGModule 68.24
- QuotientRemainder for gaussians 14.7
- QuotientRemainder for polynomials 19.22
- Radical 115.24
- RadicalPower 115.25
- random element of a domain 4.16
- Random Methods for Permutation Groups 21.24
- Random for ag groups 25.9
- Random for algebraic Extensions 16.5
- Random for Conjugacy Classes 7.72
- Random for double cosets 7.96
- Random for finite fields 18.12
- Random for gaussians 14.5
- Random for matrix groups 37.1
- Random for Permutation Groups 21.20
- Random for right cosets 7.88
- RandomIrreducibleSubGModule 68.24
- RandomOrders for MeatAxe Matrix Algebras 69.16
- RandomOrders for MeatAxe Matrix Groups 69.14
- RandomSeed 27.48
- Rank 82.4
- Rank for MeatAxe matrices 69.7
- RankSymbol 107.8
- RatFrac 112.11
- Rational 109.6
- rational characters 13.17
- RClasses of a D class of transformations 78.13
- read eval print loop 3.1
- read a file 3.12
- read a library file 3.13
- record fields for algebraic extension fields 16.11
- record fields for extension elements 16.12
- record operations 4.2
- recursion 2.18
- recursive functions 2.18
- Reduced Reidemeister-Schreier 23.11
- ReducedCoxeterWord 83.15
- ReducedExpressions 83.29
- ReducedInRightCoset 83.24 88.2
- ReducedRightCosetRepresentatives 88.3
- ReduceWordRWS 67.7
- reflection 82.0
- Reflection 82.1
- ReflectionCharacter 84.19
- ReflectionCharValue 84.18
- ReflectionCoDegrees 84.21
- ReflectionCoset 95.1
- ReflectionDegrees 84.20 95.8
- ReflectionEigenvalues 84.12
- ReflectionLength 84.13
- ReflectionName 84.4 95.5
- Reflections 84.7
- ReflectionSubCoset 95.3
- ReflectionSubgroup 83.7 88.1
- ReflectionType 84.3 95.7 96.4
- ReflectionWord 84.14
- regular classes 49.19
- RegularEigenvalues 99.2
- relation 76.0
- RelativeDegrees 99.1
- remainder of a quotient 10.4
- remove an element from a set 28.5
- RemoveRelator 23.9
- ReorderGeneratorsRWS 67.3
- repeat 2.16
- repeat loop 2.16
- Replace 104.1
- Representation 91.6 93.7
- representation as a sum of two squares 14.8
- Representations 87.9 90.11 92.4
- representative of a domain 4.15
- RepresentativeConjugation 89.28
- RepresentativeDiagonalConjugation 105.4
- RepresentativeOperation for matrix groups 37.2
- RepresentativeOperation for Permutation Groups 21.22
- RepresentativeRowColPermutation 105.16
- ResetRWS 67.2
- residue quadratic 11.7 11.8 11.9
- Restricted 110.10
- Restricted for character tables 49.8
- ResultantMat 113.2
- return 2.19
- reverse the elements of a list 27.24
- Reversed 110.11
- ReversedWord 89.11
- rewriting systems control parameters 67.4
- rewriting systems creating 67.1
- rewriting systems elementary functions 67.2
- rewriting systems examples 67.9
- rewriting systems setting the ordering 67.3
- RHT 74.145
- RightCoset for ag groups 25.9
- RightCosetGroupOps 7.88
- RightDescentSet 83.11
- RightGcd 89.12
- RightIdeal 115.22
- RightLcm 89.13
- RightNormedComm for group elements 7.3
- RightTraces 115.22
- ring for cyclotomic integers 15.6
- root of 1 modulo an integer 11.10
- root of an integer 10.13
- root of an integer modulo another 11.9
- root of an integer, smallest 10.14
- RootDatum 86.2 96.10
- RootParameter 91.3
- roots of unity 13.1
- Rotation 103.3
- Rotations 103.4
- Save for presentation records 23.8
- ScalarProduct for character tables 49.8
- scalars 32.0
- ScalMvp 112.4
- Schreier-Sims Random 21.24
- SchurElement 90.4 92.7
- SchurElements 90.3 91.2 92.6
- SchurFunctor 105.9
- scope 2.7
- secondary subgroup generators 23.11 23.11 23.14
- Sections all 80.95
- Sections regular 80.94
- Select for cat1-groups 80.60
- Select for xmods 80.14
- selections 47.0
- SemidirectProduct for groups 7.102
- SemisimpleCentralizerRepresentatives 86.18
- SemisimpleElement 86.8
- SemisimpleRank 82.5
- SemisimpleSubgroup 86.14
- SeparateRoots 113.5
- SeparateRootsInitialGuess 113.4
- sequence bernoulli 47.24
- sequence fibonacci 47.22
- sequence lucas 47.23
- Series 98.26
- set difference of domains 4.14
- SetDecimalPrecision 109.7
- SetOrderingRWS 67.3
- SetPrintLevel 7.75 7.75
- SetPrintLevelFlag 68.37
- ShiftBeta 107.3
- short vectors spanning a lattice 51.33 51.35
- ShrinkGarsideGeneratingSet 89.5
- ShrinkPresentation 113.13
- sign of an integer 10.8
- SignedCompositions 115.3
- SignedMatStab 108.6
- SignedPartitions 115.4
- SignedPerm 108.3
- SignedPermListList 108.5
- SignedPermMatMat 108.7
- SimplifyPresentation 23.13
- Size for MeatAxe Modules 69.18
- Size for ag groups 25.5
- Size for cat1-groups 80.54
- Size for character tables 49.8
- Size for Conjugacy Classes 7.72
- Size for conjugacy classes of subgroups 7.78
- Size for double cosets 7.96
- Size for finitely presented groups 23.2
- Size for matrix groups 37.1
- Size for Permutation Groups 21.20
- Size for right cosets 7.88
- Size for Transformation Monoids 78.7
- Size for xmods 80.17
- Size of a D class of transformations 78.13
- size of a domain 4.10
- Size of a Green class 75.22
- Size of an H class of transformations 78.10
- Size of an L class of transformations 78.12
- Size of an R class of transformations 78.11
- Size of vector spaces 9.4
- SizeEnumerateRWS 67.8
- SizeNumbersPerfectGroups 38.11
- SizeRWS 67.8
- SizesConjugacyClasses for character tables 49.8
- smaller prime 10.21
- SmallGroup 38.14
- SmallGroups 38.14
- SolomonAlgebra 115.38
- SolomonHomomorphism 115.41
- SolvableGroup 38.7
- sort a list 27.35
- SortEnumerateRWS 67.8
- space 2.3
- SpaceGroup 38.13
- SpechtDirectory 72.3 72.14
- special character sequences 30.0
- Specialization 91.9
- SpecialLinearGroup 38.1
- SpecialPieces 100.6
- SpecialUnitaryGroup 38.1
- Spets 95.2
- split classes 49.21
- SplitCharacters 49.13
- SplitLevis 99.5
- SplittingField for MeatAxe Modules 69.20
- Sq 57.4
- square root of an integer 10.13
- ST 74.141
- StabChainOptions 21.24
- Stabilizer for ag groups 25.9
- Stabilizer for matrix groups 37.2
- Stabilizer for Permutation Groups 21.22
- StandardAssociate for gaussians 14.7
- StandardAssociate for polynomials 19.22 19.23
- StandardParabolic 88.5
- StandardParabolicClass 83.27
- Stirling number of the first kind 47.4
- Stirling number of the second kind 47.5
- structure constant 49.30 49.31 49.32
- StructureRationalPointsConnectedCentre 96.12
- SubAlgebra for finite-dimensional algebras 115.19
- SubGModule 68.24
- subgroup and permutation character 51.28
- subgroup fusions 49.45 49.46 52.13 52.18 52.19 52.20 52.21 52.22 52.24 52.25 52.27
- subgroup generators tree 23.14
- Subgroup for color groups 61.38
- subgroups polyhedral 49.36
- subset test for domains 4.11
- subsets 29.0 47.6
- SubSpets 95.4
- substring of a string 30.3
- SubTorus 86.11
- subtract a boolean list from another 29.11
- subtract a set from another 28.8
- sum of algebra elements 39.26
- sum of divisors of an integer 10.24
- sum of gaussians 14.2
- sum of list and algebra element 39.26
- sum of records 46.5
- SumIntersectionSpaces for MeatAxe matrices 69.7
- SupersolvableResiduum for character tables 49.8
- SylowSubgroup for ag groups 25.9
- SylowSubgroup for matrix groups 37.2
- SylowSubgroup for Permutation Groups 21.21
- SymbolPartitionTuple 107.5
- Symbols 107.9
- SymbolsDefect 107.10
- symmetric group powermap 47.20
- SymmetricDifference 103.1
- SymmetricGroup 38.1
- SymmetricPower 105.8
- symmetrizations orthogonal 51.17
- symmetrizations symplectic 51.18
- SymplecticGroup 38.1
- syntax errors 3.1
- table automorphisms 52.22 52.25 52.27
- table of factor group 49.15
- table of normal subgroup 49.16
- Table for derivations 80.92
- Table for RangeEndomorphismDerivations 80.108
- Table for SourceEndomorphismDerivations 80.106
- Table for WhiteheadGroup 80.101
- Table for WhiteheadMonoid 80.102
- Tableaux 107.6
- TableOfMarks 48.4
- tables 49.0 49.11 53.0
- tables add to a library 53.7
- tables format 49.2 49.3
- tables generic 50.0 50.2 50.3
- tables libraries of 53.1
- tables library 53.3 53.4 53.5
- tables sort 49.38 49.39 49.40
- tabulator 2.3
- tensor product 49.17
- test for sections record 80.96
- test for a boolean 45.3
- test for a cyclotomic 13.5
- test for a cyclotomic field 15.2
- test for a cyclotomic integer 13.6
- test for a derivation 80.79
- test for a finite field element 18.4
- test for a list 27.1
- test for a mon 74.6
- test for a power of a prime 10.19
- test for a prime 10.18
- test for a primitive root 11.5
- test for a range 31.1
- test for a rational 12.1
- test for a set 28.1
- test for a string 30.5
- test for a vector 32.2
- test for algebra element 39.26
- test for algebraic element 16.13
- test for algebraic extension 16.2
- test for an amat 74.26
- test for an integer 10.5
- test for antisymmetric 76.15
- test for asherical xmod 80.20
- test for automorphism group 80.138
- test for automorphism pair 80.140
- test for automorphism xmod 80.23
- test for cat1-group morphism 80.62
- test for cat1-groups 80.49
- test for central extension xmod 80.22
- test for common transversal 80.150
- test for conjugation xmod 80.19
- test for D class 75.17
- test for derivations record 80.93
- test for equivalence 76.18
- test for Fp-pair 80.143
- test for gaussian integer 14.4
- test for gaussian rational 14.3
- test for group element 7.4
- test for H class 75.20
- test for L Class 75.14
- test for list elements 46.9
- test for membership 27.14
- test for monoid 75.7
- test for monoid element 75.3
- test for normal extension 16.6
- test for number field 15.1
- test for partial order 76.17
- test for preorder 76.16
- test for R class 75.11
- test for record elements 46.9
- test for records 46.8
- test for reflexive 76.9
- test for regular cat1-groups 80.87
- test for regular xmods 80.87
- test for relation 76.3
- test for RModules 80.12
- test for sections 80.86
- test for semidirect pair 80.145
- test for semigroup 75.5
- test for set equality 28.3
- test for simply connected xmod 80.21
- test for sub-xmod 80.36
- test for subsets 28.9
- test for symmetric 76.11
- test for transformation 77.6
- test for transformation monoid 78.1
- test for transitive 76.13
- test for trivial action xmod 80.24
- test for xmod morphism 80.30
- test for xmods 80.4
- test for zero boundary xmod 80.25
- TeX DecompositionMatrix 72.3
- then 2.14
- ThreeGroup 38.9
- Tietze options 23.13
- Tietze record 23.8
- Tietze word 23.8
- TietzeWordAbstractWord 23.8
- Torus 86.4 96.11
- TorusOrder 84.23
- total length of a presentation 23.13
- Trace for MeatAxe matrices 69.7
- Trace for algebraic extensions 16.10
- Trace for gaussians 14.6
- trace of a field element 6.11
- TransitiveClosure 110.1
- TransitiveGroup 38.6
- TransitiveIdentification 38.6
- TranslationsCrystGroup add translations 61.8
- TranslationsCrystGroup check translations 61.9
- Transporter 105.5
- Transposed for MeatAxe matrices 69.7
- TransposedSpaceGroup 38.13
- Transversals 103.15
- tree decoding 23.14
- TryConjugatePresentation 114.6
- Twistings 95.9 96.9
- TwoGroup 38.8
- TwoSidedIdeal 115.22
- type algebraic elements 16.4
- type boolean 45.0
- type cyclotomic 13.0
- type gaussian integers 14.0
- type gaussian rationals 14.0
- type integer 10.0
- type list 27.0
- type matrices 34.0
- type rationals 12.0
- type records 46.0
- type strings 30.0
- type words 22.0
- TzEliminate 23.13
- TzFindCyclicJoins 23.13
- TzGo 23.13
- TzGoGo 23.13
- TzInitGeneratorImages 23.13
- TzPrint 23.8
- TzPrintGeneratorImages 23.13
- TzPrintGenerators 23.8
- TzPrintLengths 23.13
- TzPrintOptions 23.13
- TzPrintPairs 23.13
- TzPrintPresentation 23.8
- TzPrintRelators 23.8
- TzPrintStatus 23.8
- TzSearch 23.13
- TzSearchEqual 23.13
- TzSubstitute 23.13 23.13
- TzSubstituteCyclicJoins 23.13
- union of boolean lists 29.6 29.9
- union of domains 4.13
- union of sets 28.6 28.9
- UnipotentAbelianPart 101.5
- UnipotentCharacter 98.3
- UnipotentCharacters 98.1
- UnipotentClasses 100.1
- UnipotentDecompose 101.4
- UnipotentDegrees 98.5
- UnipotentGroup 101.1
- UnipotentValues 100.5
- Units for gaussians 14.7
- UNIX features 56.4
- UNIX installation 56.3
- UNIX options 56.4
- UnloadSmallGroups 38.14
- until 2.16
- UpperCentralSeries for character tables 49.8
- Valuation 112.2
- Value 90.7 112.2
- ValueMolienSeries 51.9
- Variables for Mvp 112.5
- VEInput 73.2
- VEOutput 73.2
- VKQuotient 113.11
- WedgeGModule 68.42
- WeightInfo 86.7
- WGraph 93.9
- WGraphToRepresentation 93.10
- while 2.15
- while loop 2.15
- Whitehead for xmods 80.116
- WHT 74.139
- Windows 56.5
- Windows features 56.8
- Windows installation 56.7 56.7
- Windows options 56.8
- word reduction 67.7
- words 22.0
- wreath product character table 49.18
- WreathProduct for ag groups 25.9
- WyckoffBasis 61.17
- WyckoffPosClass 61.17
- WyckoffSpaceGroup 61.17
- WyckoffStabilizer 61.17
- WyckoffTranslation 61.17
- X 19.2
- XTable 100.3
- Z 18.1
- ZClassRepsDadeGroup 38.13
- ZeroHeckeAlgebra 115.42
- ZeroMorphism for groups 80.133
Up
gap3-jm
27 Nov 2023