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