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 2850 articles , 3 standard articles )

Showing results 1 to 20 of 2850.
Sorted by year (citations)

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  1. Araújo, João; Bentz, Wolfram; Cameron, Peter J.: Primitive permutation groups and strongly factorizable transformation semigroups (2021)
  2. Ballester-Bolinches, A.; Esteban-Romero, R.; Meng, H.; Su, N.: On finite (p)-groups of supersoluble type (2021)
  3. Bonatto, Marco; Kinyon, Michael; Stanovský, David; Vojtěchovský, Petr: Involutive Latin solutions of the Yang-Baxter equation (2021)
  4. Bruns, Winfried; García-Sánchez, Pedro A.; Moci, Luca: The monoid of monotone functions on a poset and quasi-arithmetic multiplicities for uniform matroids (2021)
  5. Cohen, Stephen D.; Sharma, Hariom; Sharma, Rajendra: Primitive values of rational functions at primitive elements of a finite field (2021)
  6. Dietrich, Heiko; Hulpke, Alexander: Universal covers of finite groups (2021)
  7. Douglas, Andrew; de Graaf, Willem A.: Closed subsets of root systems and regular subalgebras (2021)
  8. Fu, Hang; Kang, Ming-chang; Wang, Baoshan; Zhou, Jian: Noether’s problem for some subgroups of (S_14): the modular case (2021)
  9. Mezőfi, Dávid; Nagy, Gábor P.: New Steiner 2-designs from old ones by paramodifications (2021)
  10. Morgan, Luke; Morris, Joy; Verret, Gabriel: A finite simple group is CCA if and only if it has no element of order four (2021)
  11. Piwek, Paweł; Popović, David; Wilkes, Gareth: Distinguishing crystallographic groups by their finite quotients (2021)
  12. Rahimipour, Ali Reza; Moshtagh, Hossein: Janko sporadic group (\mathrmJ_2) as automorphism group of 3-designs (2021)
  13. Abas, Marcel; Vetrík, Tomáš: Metric dimension of Cayley digraphs of split metacyclic groups (2020)
  14. Abdollahi, Alireza; Jafari, Fatemeh: Cardinality of product sets in torsion-free groups and applications in group algebras (2020)
  15. Abdollahi, Alireza; Rahmani, Nafiseh: Automorphism groups of 2-groups of coclass at most 3 (2020)
  16. Aivazidis, Stefanos; Guralnick, Robert M.: A note on abelian subgroups of maximal order (2020)
  17. Aivazidis, Stefanos; Müller, Thomas: Finite non-cyclic (p)-groups whose number of subgroups is minimal (2020)
  18. Alavi, Seyed Hassan: Flag-transitive block designs and finite simple exceptional groups of Lie type (2020)
  19. Alavi, Seyed Hassan; Bayat, Mohsen; Choulaki, Jalal; Daneshkhah, Ashraf: Flag-transitive block designs with prime replication number and almost simple groups (2020)
  20. Alavi, Seyed Hassan; Bayat, Mohsen; Daneshkhah, Ashraf: Flag-transitive block designs and unitary groups (2020)

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