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. Gähler.
The crystallographic groups catalog
-
CTblLib
1.3.1
(08/04/2020)
by T. Breuer.
The GAP Character Table Library
-
IRREDSOL
1.4.1
(10/03/2020)
by B. Höfling.
A library of irreducible soluble linear groups over finite fields and of finite primivite soluble groups
-
PrimGrp
3.4.1
(05/05/2020)
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
1.4.2
(18/12/2020)
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
3.0
(01/08/2020)
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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