The GAP3 Manual -- Chapters

  1. About GAP
  2. The Programming Language
  3. Environment
  4. Domains
  5. Rings
  6. Fields
  7. Groups
  8. Operations of Groups
  9. Vector Spaces
  10. Integers
  11. Number Theory
  12. Rationals
  13. Cyclotomics
  14. Gaussians
  15. Subfields of Cyclotomic Fields
  16. Algebraic extensions of fields
  17. Unknowns
  18. Finite Fields
  19. Polynomials
  20. Permutations
  21. Permutation Groups
  22. Words in Abstract Generators
  23. Finitely Presented Groups
  24. Words in Finite Polycyclic Groups
  25. Finite Polycyclic Groups
  26. Special Ag Groups
  27. Lists
  28. Sets
  29. Boolean Lists
  30. Strings and Characters
  31. Ranges
  32. Vectors
  33. Row Spaces
  34. Matrices
  35. Integral matrices and lattices
  36. Matrix Rings
  37. Matrix Groups
  38. Group Libraries
  39. Algebras
  40. Finitely Presented Algebras
  41. Matrix Algebras
  42. Modules
  43. Mappings
  44. Homomorphisms
  45. Booleans
  46. Records
  47. Combinatorics
  48. Tables of Marks
  49. Character Tables
  50. Generic Character Tables
  51. Characters
  52. Maps and Parametrized Maps
  53. Character Table Libraries
  54. Class Functions
  55. Monomiality Questions
  56. Getting and Installing GAP
  57. Share Libraries
  58. ANU Pq
  59. Automorphism Groups of Special Ag Groups
  60. Cohomology
  61. CrystGap--The Crystallographic Groups Package
  62. The Double Coset Enumerator
  63. GLISSANDO
  64. Grape
  65. GRIM (Groups of Rational and Integer Matrices)
  66. GUAVA
  67. KBMAG
  68. The Matrix Package
  69. The MeatAxe
  70. The Polycyclic Quotient Algorithm Package
  71. Sisyphos
  72. Decomposition numbers of Hecke algebras of type A
  73. Vector Enumeration
  74. AREP
  75. Monoids and Semigroups
  76. Binary Relations
  77. Transformations
  78. Transformation Monoids
  79. Actions of Monoids
  80. XMOD
  81. The CHEVIE Package Version 4 -- a short introduction
  82. Reflections, and reflection groups
  83. Coxeter groups
  84. Finite Reflection Groups
  85. Root systems and finite Coxeter groups
  86. Algebraic groups and semi-simple elements
  87. Classes and representations for reflection groups
  88. Reflection subgroups
  89. Garside and braid monoids and groups
  90. Cyclotomic Hecke algebras
  91. Iwahori-Hecke algebras
  92. Representations of Iwahori-Hecke algebras
  93. Kazhdan-Lusztig polynomials and bases
  94. Parabolic modules for Iwahori-Hecke algebras
  95. Reflection cosets
  96. Coxeter cosets
  97. Hecke cosets
  98. Unipotent characters of finite reductive groups and Spetses
  99. Eigenspaces and $d$-Harish-Chandra series
  100. Unipotent classes of reductive groups
  101. Unipotent elements of reductive groups
  102. Affine Coxeter groups and Hecke algebras
  103. CHEVIE utility functions
  104. CHEVIE String and Formatting functions
  105. CHEVIE Matrix utility functions
  106. Cyclotomic polynomials
  107. Partitions and symbols
  108. Signed permutations
  109. CHEVIE utility functions -- Decimal and complex numbers
  110. Posets and relations
  111. The VKCURVE package
  112. Multivariate polynomials and rational fractions
  113. The VKCURVE functions
  114. Some VKCURVE utility functions
  115. Algebra package --- finite dimensional algebras

References

Index

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gap3-jm
27 Nov 2023