UnitLib
  
  
        The library of normalized unit groups of modular group algebras
  
  
                                  Version 2.1
  
  
                                   March 2007
  
  
                              Alexander Konovalov
  
                                Elena Yakimenko
  
  
  
  Alexander Konovalov
      Email:    mailto:konovalov@member.ams.org
      Homepage: http://www.cs.st-andrews.ac.uk/~alexk/
      Address:  School of Computer Science
                University of St Andrews
                Jack Cole Building, North Haugh,
                St Andrews, Fife, KY16 9SX, Scotland
  
  
  Elena Yakimenko
      Email:    mailto:k-algebra@zsu.zp.ua
      Address:  Department of Mathematics
                Zaporozhye National University
                Ul.Zhukovskogo, 66, Zaporozhye
                69600 Ukraine
  
  
  
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  Abstract
  The  UnitLib  package extends the LAGUNA package and provides the library of
  normalized  unit  groups of modular group algebras of all finite p-groups of
  order not greater than 243 over the field of p elements.
  
  
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  Copyright
  (C) 2006-2007 by Alexander Konovalov and Elena Yakimenko
  
  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
  http://www.gnu.org/licenses/gpl.html.
  
  If  you obtained UnitLib, we would be grateful for a short notification sent
  to one of the authors.
  
  If  you  publish  a  result  which  was partially obtained with the usage of
  UnitLib, please cite it in the following form:
  
  A.  Konovalov  and  E. Yakimenko. UnitLib --- The library of normalized unit
  groups     of     modular     group     algebras,    Version    2.1;    2007
  (http://www.cs.st-andrews.ac.uk/~alexk/unitlib.htm).
  
  
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  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.
  
  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.
  
  
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  Content (UnitLib)
  
  1. Introduction
    1.1 General aims
    1.2 Theoretical background
    1.3 Installation and system requirements
  2. UnitLib functions
    2.1 MainFunctions
      2.1-1 PcNormalizedUnitGroupSmallGroup
      2.1-2 SavePcNormalizedUnitGroup
    2.2 Service tools
      2.2-1 UNITLIBBuildManual
      2.2-2 UNITLIBBuildManualHTML
  3. Details of implementation
    3.1 Saving the data
    3.2 Reading the data
  4. An example of UnitLib usage
  
  
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