GAP

GAP is a system for computational discrete algebra, with particular emphasis on Computational Group Theory. GAP provides a programming language, a library of thousands of functions implementing algebraic algorithms written in the GAP language as well as large data libraries of algebraic objects. See also the overview and the description of the mathematical capabilities. GAP is used in research and teaching for studying groups and their representations, rings, vector spaces, algebras, combinatorial structures, and more. The system, including source, is distributed freely. You can study and easily modify or extend it for your special use. Computer algebra system (CAS).

This software is also referenced in ORMS.


References in zbMATH (referenced in 2957 articles , 3 standard articles )

Showing results 2881 to 2900 of 2957.
Sorted by year (citations)
  1. Eick, Bettina; Gähler, Franz; Nickel, Werner: Computing maximal subgroups and Wyckoff positions of space groups. (1997)
  2. Ganief, Shahiem; Moori, Jamshid: ((p,q,r))-generations and (nX)-complementary generations of the sporadic groups (HS) and (McL) (1997)
  3. Ganief, Shahiem; Moori, Jamshid: ((p,q,r))-generations of the smallest Conway group (Co_ 3) (1997)
  4. Geck, Meinolf; Kim, Sungsoon: Bases for the Bruhat-Chevalley order on all finite Coxeter groups (1997)
  5. Gollan, Holger W.; Michler, Gerhard O.: Construction of a (45,694)-dimensional simple module of Lyons’ sporadic group over (\textGF(2)) (1997)
  6. Gyuris, Viktor: A short proof of representability of fork algebras (1997)
  7. Hiss, Gerhard: Decomposition matrices of the Chevalley group (F_ 4(2)) and its covering group (1997)
  8. Kemper, G.; Malle, G.: The finite irreducible linear groups with polynomial ring of invariants (1997)
  9. Kościelny, Czesław: Computing in (GF(2^m)) using GAP (1997)
  10. Müller, Jürgen: Decomposition numbers for generic Iwahori-Hecke algebras of noncrystallographic type (1997)
  11. Mysovskikh, V. I.: Testing of subgroups of a finite group for some embedding properties like pronormality (1997)
  12. Mysovskikh, V. I.; Skopin, A. I.: Embedding properties of nonprimary subgroups of the symmetric group of degree eight (1997)
  13. Omrani, A.; Shokrollahi, A.: Computing irreducible representations of supersolvable groups over small finite fields (1997)
  14. Parker, Christopher; Rowley, Peter: Quadratic functions and (\textGF(q))-groups (1997)
  15. Pfeiffer, Götz: The subgroups of (M_24), or how to compute the table of marks of a finite group (1997)
  16. Saad, Gerhard; Syskin, Sergei A.; Thomsen, Momme Johs: The inner automorphism nearrings (I(G)) on all nonabelian groups (G) of order (| G|\leq100) (1997)
  17. Vavilov, N. A.; Mysovskikh, V. I.; Teterin, Yu. G.: Computational group theory in St. Petersburg (1997)
  18. Weller, Michael: Construction of classes of subgroups of small index in (p)-groups (1997)
  19. Wood, David R.: An algorithm for finding a maximum clique in a graph (1997)
  20. Wreth, S.: A certain non-singular system of length three equations over a group (1997)

Further publications can be found at: http://www.gap-system.org/Doc/Bib/bib.html