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# 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 up to 243.
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
[ Dauer der Verarbeitung: 0.23 Sekunden
(vorverarbeitet)
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2026-03-28
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