  
  
                                    [1X[5XUnitLib[105X[101X
  
  
        [1XThe library of normalized unit groups of modular group algebras[101X
  
  
                                 Version 3.3.0
  
  
                               24 September 2017
  
  
                              Alexander Konovalov
  
                                Elena Yakimenko
  
  
  
  Alexander Konovalov
      Email:    [7Xmailto:alexander.konovalov@st-andrews.ac.uk[107X
      Homepage: [7Xhttps://alexk.host.cs.st-andrews.ac.uk[107X
      Address:  [33X[0;14YSchool of Computer Science[133X
                [33X[0;14YUniversity of St Andrews[133X
                [33X[0;14YJack Cole Building, North Haugh,[133X
                [33X[0;14YSt Andrews, Fife, KY16 9SX, Scotland[133X
  
  
  
  -------------------------------------------------------
  [1XAbstract[101X
  [33X[0;0YThe  [5XUnitLib[105X  package extends the [5XLAGUNA[105X package and provides the library of
  normalized  unit  groups of modular group algebras of all finite [22Xp[122X-groups of
  order not greater than 243 over the field of [22Xp[122X elements.[133X
  
  [33X[0;0YIt  also  contains  a  parallel  implementation  of  the  computation of the
  normalized  unit group of a modular group algebra of a finite [22Xp[122X-group (which
  should  be  retrieved from the [5XGAP[105X Small Groups Library) over the field of [22Xp[122X
  elements.[133X
  
  
  -------------------------------------------------------
  [1XCopyright[101X
  [33X[0;0Y© 2006-2017 by Alexander Konovalov and Elena Yakimenko[133X
  
  [33X[0;0Y[5XUnitLib[105X 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
  [7Xhttp://www.gnu.org/licenses/gpl.html[107X.[133X
  
  [33X[0;0YIf  you obtained [5XUnitLib[105X, we would be grateful for a short notification sent
  to one of the authors.[133X
  
  [33X[0;0YIf  you  publish  a  result  which  was partially obtained with the usage of
  [5XUnitLib[105X, please cite it in the following form:[133X
  
  [33X[0;0YA.  Konovalov  and  E. Yakimenko. [13XUnitLib --- The library of normalized unit
  groups     of     modular    group    algebras,    Version    3.3.0[113X,    2017
  ([7Xhttp://gap-packages.github.io/unitlib/[107X).[133X
  
  
  -------------------------------------------------------
  [1XAcknowledgements[101X
  [33X[0;0YThe 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.[133X
  
  [33X[0;0YBoth  authors  are  very  grateful  to  the  members of the [5XGAP[105X 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  [5XUnitLib[105X  and  useful  comments.  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.[133X
  
  
  -------------------------------------------------------
  
  
  [1XContents (UnitLib)[101X
  
  1 [33X[0;0YIntroduction[133X
    1.1 [33X[0;0YGeneral aims[133X
    1.2 [33X[0;0YTheoretical background[133X
    1.3 [33X[0;0YInstallation and system requirements[133X
  2 [33X[0;0Y[5XUnitLib[105X functions[133X
    2.1 [33X[0;0YMainFunctions[133X
      2.1-1 PcNormalizedUnitGroupSmallGroup
      2.1-2 SavePcNormalizedUnitGroup
  3 [33X[0;0YImplementation Details[133X
    3.1 [33X[0;0YSaving the data[133X
    3.2 [33X[0;0YReading the data[133X
  4 [33X[0;0YAn example of [5XUnitLib[105X usage[133X
  
  
  [32X
