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 2948 articles , 3 standard articles )

Showing results 41 to 60 of 2948.
Sorted by year (citations)
  1. Gow, Rod; Murray, John: Self-dual modules in characteristic two and normal subgroups (2021)
  2. Gruber, Jonathan: On complete reducibility of tensor products of simple modules over simple algebraic groups (2021)
  3. Hauck, P.; Kazarin, L. S.; Martínez-Pastor, A.; Pérez-Ramos, M. D.: Thompson-like characterization of solubility for products of finite groups (2021)
  4. Hiss, Gerhard; Lutowski, Rafał; Szczepański, Andrzej: Flat manifolds with holonomy representation of quaternionic type (2021)
  5. Holt, Derek; Linton, Stephen; Neunhöffer, Max; Parker, Richard; Pfeiffer, Markus; Roney-Dougal, Colva M.: Polynomial-time proofs that groups are hyperbolic (2021)
  6. Hoshi, Akinari; Yamasaki, Aiichi: Rationality problem for norm one tori (2021)
  7. Janabi, Hayder Abbas; Héthelyi, László; Horváth, Erzsébet: TI subgroups and depth 3 subgroups in simple Suzuki groups (2021)
  8. Janabi, Hayder; Breuer, Thomas; Horváth, Erzsébet: Subgroups of arbitrary even ordinary depth (2021)
  9. Jespers, Eric; Sun, Wei-Liang: Nilpotent decomposition in integral group rings (2021)
  10. Jin, Ping; Yang, Yong: Primitive character degrees of solvable groups (2021)
  11. Kalteh, O.; Jafari, S. Hadi: Computing the nonabelian tensor squares of groups of order (p^3q) (2021)
  12. Kaluba, Marek; Kielak, Dawid; Nowak, Piotr: On property (T) for (\mathrmAut(F_n)) and (\mathrmSL_n(\mathbbZ)) (2021)
  13. Kaygorodov, Ivan; Zusmanovich, Pasha: On anticommutative algebras for which ([R_a,R_b]) is a derivation (2021)
  14. Khaqan, Maryam: Elliptic curves and Thompson’s sporadic simple group (2021)
  15. Khoramshahi, K.; Zarrin, M.: Groups with the same number of centralizers (2021)
  16. Koshitani, Shigeo; Lassueur, Caroline: Trivial source characters in blocks with cyclic defect groups (2021)
  17. Lazorec, Mihai-Silviu: On a divisibility property involving the sum of element orders (2021)
  18. Lazorec, Mihai-Silviu; Shen, Rulin; Tărnăuceanu, Marius: The second minimum/maximum value of the number of cyclic subgroups of finite (p)-groups (2021)
  19. Li, Jing Jian; Ma, Jicheng: On prime-valent symmetric Cayley graphs of finite simple groups (2021)
  20. Lübeck, Frank; Prasad, Dipendra: A character relationship between symmetric group and hyperoctahedral group (2021)

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