nilcano

Canonical conjugacy representatives in nilpotent groups

Version 1.0
Released 2025-04-18

This project is maintained by Óscar Fernández Ayala

The GAP 4 package nilcano

by Óscar Fernández Ayala oscar00ayala@gmail.com

About

The nilcano package provides methods to compute the canonical conjugacy representatives of elements and subgroups of nilpotent groups given by a polycyclic presentation, compute the intersection of two subgroups of a nilpotent subgroup and computing the product of two subgroups of a nilpotent group.

This package requires GAP version 4.13 or later and Polycyclic package version 2.16 or later.

Installation

Either place the folder in the pkg subdirectory of your gap folder, or in any other folder where you have write permission. You can verify if GAP recognizes the nilcano package using the following command:

gap> LoadPackage("nilcano");
─────────────────────────────────────────────────────────────────────────────
Loading  nilcano 1.0 (Computation of canonical conjugacy representatives in nilpotent groups)
by Oscar Fernandez Ayala (https://osferay.github.io/).
Homepage: https://osferay.github.io/nilcano/
Report issues at https://github.com/osferay/nilcano/issues
─────────────────────────────────────────────────────────────────────────────
true

Support

Please report any problems you may encounter using nilcano at https://github.com/osferay/nilcano/issues

License

The nilcano package is licensed under the GNU General Public License v2.0 or later. A copy of this license is included.