The GAP 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. Matrix Rings
  36. Matrix Groups
  37. Group Libraries
  38. Algebras
  39. Finitely Presented Algebras
  40. Matrix Algebras
  41. Modules
  42. Mappings
  43. Homomorphisms
  44. Booleans
  45. Records
  46. Combinatorics
  47. Tables of Marks
  48. Character Tables
  49. Generic Character Tables
  50. Characters
  51. Maps and Parametrized Maps
  52. Character Table Libraries
  53. Class Functions
  54. Monomiality Questions
  55. Getting and Installing GAP
  56. Share Libraries
  57. Automorphism Groups of Special Ag Groups
  58. The Double Coset Enumerator
  59. GRIM (Groups of Rational and Integer Matrices)
  60. The Matrix Package
  61. The MeatAxe
  62. The Polycyclic Quotient Algorithm Package
  63. Sisyphos
  64. Decomposition numbers of Hecke algebras of type A
  65. Vector Enumeration
  66. AREP
  67. CHEVIE Version 4 -- a short introduction
  68. Reflections, and reflection groups
  69. Coxeter groups
  70. Finite Reflection Groups
  71. Root systems and finite Coxeter groups
  72. Algebraic groups and semi-simple elements
  73. Classes and representations for reflection groups
  74. Reflection subgroups
  75. Garside and braid monoids and groups
  76. Cyclotomic Hecke algebras
  77. Iwahori-Hecke algebras
  78. Representations of Iwahori-Hecke algebras
  79. Kazhdan-Lusztig polynomials and bases
  80. Parabolic modules for Iwahori-Hecke algebras
  81. Reflection cosets
  82. Coxeter cosets
  83. Hecke cosets
  84. Unipotent characters of finite reductive groups
  85. Unipotent classes of reductive groups
  86. Affine Coxeter groups and Hecke algebras
  87. CHEVIE utility functions
  88. CHEVIE String and Formatting functions
  89. CHEVIE Matrix utility functions
  90. Cyclotomic polynomials
  91. Partitions and symbols
  92. CHEVIE utility functions -- Decimal and complex numbers
  93. Posets
  94. Integral matrices and lattices
  95. The VKCURVE package
  96. Multivariate polynomials and rational fractions
  97. The VKCURVE functions
  98. Some VKCURVE utility functions
  99. Algebra package --- finite dimensional algebras

References

Index

Up

GAP 3.4.4
April 1997