<?xml version="1.0" encoding="ISO-8859-1"?>
<!-- $Id: manual.xml,v 1.5 2007/03/14 20:41:57 alexk Exp $ -->
<!DOCTYPE Book SYSTEM "gapdoc.dtd"
[<!ENTITY LAGUNA "<Package>LAGUNA</Package>">]
[<!ENTITY UnitLib "<Package>UnitLib</Package>">]
[<!ENTITY QaoS "<Package>Qaos</Package>">]
[<!ENTITY ParGAP "<Package>ParGAP</Package>">] >
<Book Name="UnitLib">
<TitlePage>
<Title>&UnitLib;</Title>
<Subtitle>The library of normalized unit groups of modular group algebras</Subtitle>
<Version>Version 2.1</Version>
<Author>Alexander Konovalov
<Email>konovalov@member.ams.org</Email>
<Homepage>http://www.cs.st-andrews.ac.uk/˜alexk/</Homepage>
<Address>
School of Computer Science<Br/>
University of St Andrews<Br/>
Jack Cole Building, North Haugh,<Br/>
St Andrews, Fife, KY16 9SX, Scotland
</Address>
</Author>
<Author>Elena Yakimenko
<Email>k-algebra@zsu.zp.ua</Email>
<Address>
Department of Mathematics<Br/>
Zaporozhye National University<Br/>
Ul.Zhukovskogo, 66, Zaporozhye<Br/>
69600 Ukraine
</Address>
</Author>
<Date>March 2007</Date>
<Abstract>
<Index Key="UnitLib package">&UnitLib; package</Index>
The &UnitLib; package extends the &LAGUNA; package and provides the
library of normalized unit groups of modular group algebras of all
finite <M>p</M>-groups of order not greater than 243 over the field
of <M>p</M> elements.
</Abstract>
<Copyright>
©right; 2006-2007 by Alexander Konovalov and Elena Yakimenko<P/>
&UnitLib; is free software; you can redistribute it and/or modify it
under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version. For details, see the FSF's own site
<URL>http://www.gnu.org/licenses/gpl.html</URL>.<P/>
If you obtained &UnitLib;, we would be grateful for a short notification
sent to one of the authors.<P/>
If you publish a result which was partially obtained with the usage of
&UnitLib;, please cite it in the following form:<P/>
A. Konovalov and E. Yakimenko.
<E>UnitLib --- The library of normalized unit groups of modular group
algebras, Version 2.1;</E> 2007
(<URL>http://www.cs.st-andrews.ac.uk/˜alexk/unitlib.htm</URL>).
</Copyright>
<Acknowledgements>
The first version of the package (as well as the subsequent version 2.1)
was released in 2006, when the first author was a postdoctoral
research collaborator at the Vrije Universiteit Brussels, Belgium.
It is a pleasure of the first author to express his gratitude to
Prof. Dr. Eric Jespers for his warm hospitality and to acknowledge
the support provided by the Francqui Stichting grant ADSI107.
<P/>
Both authors are very grateful to the members of the &GAP; team:
Thomas Breuer, Stefan Kohl and Frank Lübeck for helpful suggestions.
We would like to acknowledge Bettina Eick for communicating the package,
and the referee for testing &UnitLib; and useful commnets.
Finally, we wish to thank the Centre for Interdisciplinary Research in
Computational Algebra of the University of St Andrews and the
Computational Cluster of the Kiev National Taras Shevchenko University
for offering their computer facilities for computations.
</Acknowledgements>
</TitlePage>
<TableOfContents/>
<Body>
<#Include SYSTEM "intro.xml">
<#Include SYSTEM "funct.xml">
<#Include SYSTEM "tech.xml">
<#Include SYSTEM "example.xml">
</Body>
<Bibliography Databases="manual"/>
<TheIndex/>
</Book>
