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 2191 articles , 2 standard articles )

Showing results 1781 to 1800 of 2191.
Sorted by year (citations)

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  1. Egri-Nagy, Attila; Nehaniv, Chrystopher L.: Algebraic hierarchical decomposition of finite state automata: Comparison of implementations for Krohn-Rhodes theory (2005)
  2. Eick, Bettina: Determination of the uniserial space groups with a given coclass. (2005)
  3. Ellis, Graham: Computing group resolutions. (2005)
  4. Ellis, Graham; Williams, Gerald: On the cohomology of generalized triangle groups. (2005)
  5. Fernandes, Vítor H.; Gomes, Gracinda M.S.; Jesus, Manuel M.: Presentations for some monoids of partial transformations on a finite chain. (2005)
  6. Flannery, D.L.; O’Brien, E.A.: Linear groups of small degree over finite fields. (2005)
  7. Golemac, Anka; Vučičić, Tanja; Mandić, Joško: Construction of strongly regular graphs using affine designs (2005)
  8. Goodwin, Simon: Algorithmic testing for dense orbits of Borel subgroups (2005)
  9. Goodwin, Simon M.: Relative Springer isomorphisms. (2005)
  10. Gramlich, R.; Hoffman, C.; Nickel, W.; Shpectorov, S.: Even-dimensional orthogonal groups as amalgams of unitary groups. (2005)
  11. Haanpää, Harri; Kaski, Petteri: The near resolvable $2$-$(13,4,3)$ designs and thirteen-player whist tournaments (2005)
  12. Haller, Sergei; Steinbach, Anja: An implementation of the root subgroups of an $E_6$-quadrangle in the Chevalley group $E_6(E)$. (2005)
  13. Hartley, Michael I.: Locally projective polytopes of type $\4,3,\dots,3,p$$ (2005)
  14. Harvey, Warwick; Winterer, Thorsten: Solving the MOLR and social golfers problems (2005)
  15. Heath, Lenwood S.; Loehr, Nicholas A.: New algorithms for generating Conway polynomials over finite fields (2005)
  16. Heinze, Aiso; Klin, Mikhail: Links between Latin squares, nets, graphs and groups: Work inspired by a paper of A. Barlotti and K. Strambach (2005)
  17. Hohlweg, Christophe: A generalization of plactic-coplactic equivalences and Kazhdan-Lusztig cells. (2005)
  18. Holt, Derek F.; Eick, Bettina; O’Brien, Eamonn A.: Handbook of computational group theory. (2005)
  19. Hulpke, Alexander; Kuusalo, Tapani; Näätänen, Marjatta; Rosenberger, Gerhard: On orbifolds coverings of genus 2 surfaces (2005)
  20. Jansen, Christoph: The minimal degrees of faithful representations of the sporadic simple groups and their covering groups. (2005)

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