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. ANU Pq
58. Automorphism Groups of Special Ag Groups
59. Cohomology
60. CrystGap--The Crystallographic Groups Package
61. The Double Coset Enumerator
62. GLISSANDO
63. Grape
64. GRIM (Groups of Rational and Integer Matrices)
65. GUAVA
66. KBMAG
67. The Matrix Package
68. The MeatAxe
69. The Polycyclic Quotient Algorithm Package
70. Sisyphos
71. The Specht Share Package
72. Vector Enumeration
73. XMOD
74. CHEVIE Version 3 -- a short introduction
75. Root systems and finite Coxeter groups
76. Elements in finite Coxeter groups
77. Character tables for Coxeter groups
78. Reflection subgroups
79. Artin-Tits braid groups
80. Complex reflection groups, cyclotomic algebras
81. Iwahori-Hecke algebras
82. Representations of Iwahori-Hecke algebras
83. Kazhdan-Lusztig polynomials and bases
84. Coxeter cosets
85. Hecke cosets
86. Appendix -- utility functions for the CHEVIE package

References

Index

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