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 2876 articles , 3 standard articles )

Showing results 1 to 20 of 2876.
Sorted by year (citations)

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  1. Ali, Sajid; Azad, Hassan; Biswas, Indranil; de Graaf, Willem A.: A constructive method for decomposing real representations (2021)
  2. Araújo, João; Bentz, Wolfram; Cameron, Peter J.: Primitive permutation groups and strongly factorizable transformation semigroups (2021)
  3. Araújo, João; Bentz, Wolfram; Cameron, Peter J.: The existential transversal property: a generalization of homogeneity and its impact on semigroups (2021)
  4. Ballester-Bolinches, A.; Esteban-Romero, R.; Meng, H.; Su, N.: On finite (p)-groups of supersoluble type (2021)
  5. Bamberg, John; Evans, James: No sporadic almost simple group acts primitively on the points of a generalised quadrangle (2021)
  6. Bonatto, Marco; Kinyon, Michael; Stanovský, David; Vojtěchovský, Petr: Involutive Latin solutions of the Yang-Baxter equation (2021)
  7. Bruns, Winfried; García-Sánchez, Pedro A.; Moci, Luca: The monoid of monotone functions on a poset and quasi-arithmetic multiplicities for uniform matroids (2021)
  8. Chen, Xi; Qu, Longjiang; Fu, Shaojing; Li, Chao: The number of affine equivalent classes and extended affine equivalent classes of vectorial Boolean functions (2021)
  9. Cohen, Stephen D.; Sharma, Hariom; Sharma, Rajendra: Primitive values of rational functions at primitive elements of a finite field (2021)
  10. Collins, José; Montero, Antonio: Equivelar toroids with few flag-orbits (2021)
  11. Dietrich, Heiko; Hulpke, Alexander: Universal covers of finite groups (2021)
  12. Dietrich, Heiko; Low, Darren: Generation of finite groups with cyclic Sylow subgroups (2021)
  13. Douglas, Andrew; de Graaf, Willem A.: Closed subsets of root systems and regular subalgebras (2021)
  14. Fresán-Figueroa, J.; González-Moreno, D.; Olsen, M.: On the packing chromatic number of Moore graphs (2021)
  15. Fu, Hang; Kang, Ming-chang; Wang, Baoshan; Zhou, Jian: Noether’s problem for some subgroups of (S_14): the modular case (2021)
  16. Gow, Rod; Murray, John: Self-dual modules in characteristic two and normal subgroups (2021)
  17. Holt, Derek; Linton, Stephen; Neunhöffer, Max; Parker, Richard; Pfeiffer, Markus; Roney-Dougal, Colva M.: Polynomial-time proofs that groups are hyperbolic (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. Lübeck, Frank; Prasad, Dipendra: A character relationship between symmetric group and hyperoctahedral group (2021)
  20. Mamontov, A. S.; Jabara, E.: Recognizing (A_7) by its set of element orders (2021)

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