Spracherkennung für: .md vermutete Sprache: Delphi {Delphi[130] SPS[120] PVS[81]} [Methode: maximale Elemente, drei Dimensionen]
[](https://github.com/gap-packages/unitlib/actions?query=workflow%3ACI+branch%3Amaster)
[](https://codecov.io/gh/gap-packages/unitlib)
# 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
