Package: gapaclib (1.3.22)
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External Resources:
 Homepage [www.gapsystem.org]
Similar packages:
GAP AClib  Almost Crystallographic Groups  A Library and Algorithms
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. GAP is used in research and teaching for studying groups and their representations, rings, vector spaces, algebras, combinatorial structures, and more.
The AClib package contains a library of almost crystallographic groups and a some algorithms to compute with these groups. A group is called almost crystallographic if it is finitely generated nilpotentbyfinite and has no nontrivial finite normal subgroups. Further, an almost crystallographic group is called almost Bieberbach if it is torsionfree. The almost crystallographic groups of Hirsch length 3 and a part of the almost cyrstallographic groups of Hirsch length 4 have been classified by Dekimpe. This classification includes all almost Bieberbach groups of Hirsch lengths 3 or 4. The AClib package gives access to this classification; that is, the package contains this library of groups in a computationally useful form. The groups in this library are available in two different representations. First, each of the groups of Hirsch length 3 or 4 has a rational matrix representation of dimension 4 or 5, respectively, and such representations are available in this package. Secondly, all the groups in this libraray are (infinite) polycyclic groups and the package also incorporates polycyclic presentations for them. The polycyclic presentations can be used to compute with the given groups using the methods of the Polycyclic package. The package was written by Karel Dekimpe and Bettina Eick.
Other Packages Related to gapaclib





 dep: gapalnuth (>= 3.0)
 GAP Alnuth  Algebraic number theory and an interface to PARI/GP

 dep: gappolycyclic (>= 1.0)
 GAP Polycyclic  Computation with polycyclic groups

 rec: gap
 computer algebra system for Groups, Algorithms and Programming

 sug: gapcrystcat
 GAP CrystCat  The crystallographic groups catalog
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