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 3154 articles , 3 standard articles )

Showing results 1 to 20 of 3154.
Sorted by year (citations)

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  1. Akgün, Ö.; Mereb, M.; Vendramin, L.: Enumeration of set-theoretic solutions to the Yang-Baxter equation (2022)
  2. Bardakov, Valeriy; Nasybullov, Timur; Singh, Mahender: General constructions of biquandles and their symmetries (2022)
  3. Bastos, R.; de Oliveira, R.; Monetta, C.; Rocco, N. R.: On some series of a group related to the non-abelian tensor square of groups (2022)
  4. Beike, Nicolas F.; Carleton, Rachel; Costanzo, David G.; Heath, Colin; Lewis, Mark L.; Lu, Kaiwen; Pearce, Jamie D.: Extending results of Morgan and Parker about commuting graphs (2022)
  5. Bellamy, Gwyn; Schmitt, Johannes; Thiel, Ulrich: Towards the classification of symplectic linear quotient singularities admitting a symplectic resolution (2022)
  6. Bernal, Ana: Unitriangular basic sets for blocks of the symmetric and alternating groups of small weights (2022)
  7. Bors, Alexander: Computation of orders and cycle lengths of automorphisms of finite solvable groups (2022)
  8. Bors, Alexander; Wang, Qiang: Cycle types of complete mappings of finite fields (2022)
  9. Brandhorst, Simon; Shimada, Ichiro: Borcherds’ method for Enriques surfaces (2022)
  10. Brieussel, Jérémie; Godin, Thibault; Mohammadi, Bijan: Numerical upper bounds on growth of automaton groups (2022)
  11. Carta, Ludo; Fairbairn, Ben T.: Generalised Beauville groups (2022)
  12. Carvalho, Catarina; Martin, Barnaby: The lattice and semigroup structure of multipermutations (2022)
  13. Chang, Mun See; Jefferson, Christopher: Disjoint direct product decompositions of permutation groups (2022)
  14. Chinyere, Ihechukwu; Williams, Gerald: Fractional Fibonacci groups with an odd number of generators (2022)
  15. Ciolan, Alexandru; García-Sánchez, Pedro A.; Herrera-Poyatos, Andrés; Moree, Pieter: Cyclotomic exponent sequences of numerical semigroups (2022)
  16. Costanzo, Zachary; Tong-Viet, Hung P.: Finite groups whose real-valued irreducible characters have prime power degrees (2022)
  17. Crnković, Dean; Danilović, Doris Dumičić; Egan, Ronan; Švob, Andrea: Periodic Golay pairs and pairwise balanced designs (2022)
  18. Crnković, Dean; Rukavina, Sanja; Švob, Andrea: Self-orthogonal codes from equitable partitions of association schemes (2022)
  19. Cuntz, Michael; Elia, Sophia; Labbé, Jean-Philippe: Congruence normality of simplicial hyperplane arrangements via oriented matroids (2022)
  20. Díaz Ramos, Antonio; Mazza, Nadia: A geometric approach to Quillen’s conjecture (2022)

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