# Cubefree

Constructing the Groups of a Given Cubefree Order

Version 1.19
Released 2022-02-21

This project is maintained by Heiko Dietrich

# GAP Package Cubefree

The Cubefree package contains methods to construct up to isomorphism the groups of a given (reasonable) cubefree order. The main function ConstructAllCFGroups(n) constructs all groups of a given cubefree order n. The function NumberCFGroups(n) counts all groups of a cubefree order n. Furthermore, IrreducibleSubgroupsOfGL(2,q) constructs the irreducible subgroups of GL(2,q), q=p^r, p>=5 prime, up to conjugacy and RewriteAbsolutelyIrreducibleMatrixGroup(G) rewrites the absolutely irreducible matrix group G (over a finite field) over a minimal subfield.

The current version of this package is version 1.19, released on 2022-02-21. For more information, please refer to the package manual. There is also a README file.

## Dependencies

This package requires GAP version >=4.8

The following other GAP packages are needed:

## Citing

You can get more info by typing Cite("Cubefree"); in the gap prompt.