corefreesub
A GAP Package for calculating the core-free subgroups and their faithful transitive permutation representations
Version 0.6
Released 2024-03-11
This project is maintained by Claudio Alexandre Piedade, Manuel Delgado
GAP Package corefreesub
The CoreFreeSub package is a package to compute faithful transitive permutation representations (FTPRs) of groups. Moreover, this package provides tools to determine the degrees of these FTPRs and lists core-free subgroups. Furthermore, this package allows a graph representation of the permutation representations.
For more information, please refer to the package manual, found in the webpage of the package https://capiedade.github.io/corefreesub/ .
Dependencies
This package requires GAP version at least 4.11.
Due to its dependency on pc-groups to calculate core-free subgroups of solvable groups, this package also requires the polycyclic GAP package.
In order to produce graph outputs as images, graphviz, version at least 2.43.0, should be installed. Moreover, to write the graphs in Tikz as a TeX file, dot2tex, version at least 2.11.3, should also be installed.
Authors
Claudio Alexandre Piedade & Manuel Delgado
Citing
Please, cite this package as
[PD24] Piedade, C. A. and Delgado, M., corefreesub, A GAP Package for calculating the core-free subgroups and their faithful transitive permutation representations, Version 0.5 (2024), GAP package, https://CAPiedade.github.io/corefreesub/.
You can get more info by typing Cite(“corefreesub”); in the gap prompt.
Features
The features of this package include
- function to check whether a subgroup is core-free;
- computing (conjugacy classes of) subgroups which are core-free;
- computing faithful transitive permutation representations (FTPRs) and respective degrees;
- computing minimal FTPRs and respective minimal degree;
- DOT file construction of the FTPRs
- Visualization of the DOT file and TeX file output.
There is a manual in the sub-directory doc written using the GAP package gapdoc which describes the available functions in detail. The pdf, html versions of the manual are also available there.
Contact and Feedback
For bug reports, feature requests and suggestions, please use the issue tracker.
License
This package is under GPL 2.0 license or later.