Skip to content

gap-packages/unitlib

Folders and files

NameName
Last commit message
Last commit date

Latest commit

0bdb039 · Dec 12, 2024
Dec 12, 2024
May 1, 2018
Apr 26, 2022
Apr 26, 2022
Apr 26, 2022
Sep 19, 2011
Jan 23, 2018
Jun 6, 2018
Sep 24, 2017
Feb 25, 2023
Apr 26, 2022
Apr 26, 2022
Apr 26, 2022

Repository files navigation

Build Status Code Coverage

GAP package UnitLib

Let KG be a group algebra of a finite p-group G over the field K of characteristic p, and let V(KG) be the normalized unit group of KG. The pc-presentation of the group V(KG) can be computed using the GAP package LAGUNA (https://gap-packages.github.io/laguna/), but for groups of orders 64 and more this computation already takes a lot of time.

The UnitLib package is an extension of the LAGUNA package that is aimed on this problem. It contains the library of normalized unit groups of modular group algebras of finite p-groups over the field of p elements. This allows the user to retrieve the pre-computed group from the library instead of the long-time computation. The group created with UnitLib will have the same properties and attributes as the one computed with LAGUNA.

The current distribution of UnitLib contains normalized unit groups V(KG) for all p-groups of order less than 243. The data for groups of order 243 is available as an optional download.

The UnitLib package is redistributed with GAP, but is not loaded by default. Therefore, to use UnitLib, first you need to load it as follows:

gap> LoadPackage("unitlib");

Olexandr Konovalov and Olena Yakimenko