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      GAP

      Main Branches

      Downloads  Installation  Overview  Data Libraries  Packages  Documentation  Contacts  FAQ  GAP 3 

      Data Libraries

      GAP contains several data libraries. Some of these are parts of the core GAP system, while some others are technically GAP packages and must be loaded using the LoadPackage mechanism.

      Data libraries which are parts of the core GAP system:

      • Basic Groups
        Cyclic, abelian, dihedral, extraspecial, alternating, symmetric, Mathieu, Suzuki, and Ree groups.
         
      • Classical Groups
        Linear, unitary, symplectic, and orthogonal groups.
         
      • Perfect Groups   by D. Holt, W. Plesken, and V. Felsch
        Almost all perfect groups of order up to 10 6.
         
      • Integral Matrix Groups   by W. Plesken, B. Souvignier, G. Nebe, and V. Felsch.
        Irreducible maximal finite integral matrix groups of dimension up to 31.
         
      • Lie Algebras
        Free, Full Linear, and Simple Lie Algebras.
         

      Data libraries which are GAP packages:

      • AClib  1.3.2 (28/01/2020) by K. Dekimpe, B. Eick
        Almost Crystallographic Groups - A Library and Algorithms
         
      • AtlasRep  2.1.0 (10/05/2019) by R. A. Wilson, R. A. Parker, S. Nickerson, J. N. Bray, T. Breuer
        A GAP Interface to the Atlas of Group Representations
         
      • CrystCat  1.1.9 (28/05/2019) by V. Felsch, F. G?hler
        The crystallographic groups catalog
         
      • CTblLib  1.2.2 (07/03/2013) by T. Breuer
        The GAP Character Table Library
         
      • IRREDSOL  1.4 (03/08/2017) by B. H?fling
        A library of irreducible soluble linear groups over finite fields and of finite primivite soluble groups
         
      • PrimGrp  3.4.0 (03/12/2019) by A. Hulpke, A. Konovalov, C. M. Roney-Dougal, C. Russell
        GAP Primitive Permutation Groups Library (including irreducible solvable subgroups of GL(n,q) for qn up to 243, calculated by M. Short)
         
      • SglPPow  2.1 (08/03/2018) by M. Vaughan-Lee, B. Eick
        Database of groups of prime-power order for some prime-powers
         
      • SmallGrp  1.4.1 (26/09/2019) by H. U. Besche, B. Eick, E. O'Brien, The GAP Team
        The GAP Small Groups Library
         
      • Smallsemi  0.6.12 (16/08/2019) by A. Distler, J. Mitchell
        A library of small semigroups
         
      • TomLib  1.2.9 (23/10/2019) by T. Merkwitz, L. Naughton, G. Pfeiffer
        The GAP Library of Tables of Marks
         
      • TransGrp  2.0.5 (28/02/2020) by A. Hulpke
        Transitive Groups Library
         
      • UnitLib  4.0.0 (01/05/2018) by A. Konovalov, E. Yakimenko
        Library of normalized unit groups of modular group algebras
         
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