NQ
  
  
    A GAP 4 Package computing nilpotent factor groups of finitely presented
             groups   Based on the ANU Nilpotent Quotient Program
  
  
                                  Version 2.2
  
  
                                 February 2007
  
  
                                Werner Nickel  
  
  
  
  Werner Nickel  
      Email:    mailto:
              nickel at mathematik.tu-darmstadt.de
          
      Homepage: http://www.mathematik.tu-darmstadt.de/~nickel
      Address:  Fachbereich Mathematik, AG 2
                TU Darmstadt
                Schlossgartenstr. 7
                64289 Darmstadt
                Germany
  
  
  
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  Copyright
  (C) 1992-2007 Werner Nickel.
  
  
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  Acknowledgements
  The  development  of this program was started while the author was supported
  by  an  Australian  National  University  PhD  scholarship  and  an Overseas
  Postgraduate Research Scholarship.
  
  Further  development  of  this  program  was  done  with  support  from  the
  DFG-Schwerpunkt-Projekt "`Algorithmische Zahlentheorie und Algebra"'.
  
  Over  the  years  a number of people have made useful suggestions that found
  their way into the code: Mike Newman, Michael Vaughan-Lee, Joachim Neubüser,
  Charles Sims.
  
  I thank Volkmar Felsch and Joachim Neubüser for their careful examination of
  the package prior to its release for GAP 4.
  
  This  documentation was prepared with the GAPDoc package by Frank Lübeck and
  Max Neunhöffer.
  
  
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  Content (nq)
  
  1. Introduction
  2. General remarks
    2.1 Commutators and the Lower Central Series
    2.2 Nilpotent groups
    2.3 Nilpotent presentations
    2.4 A sketch of the algorithm
    2.5 Identical Relations
    2.6 Expression Trees
    2.7 A word about the implementation
    2.8 The input format of the standalone
  3. The Functions of the Package
    3.1 Nilpotent Quotients of Finitely Presented Groups
      3.1-1 NilpotentQuotient
      3.1-2 NilpotentEngelQuotient
      3.1-3 NqEpimorphismNilpotentQuotient
      3.1-4 LowerCentralFactors
    3.2 Expression Trees
      3.2-1 ExpressionTrees
      3.2-2 EvaluateExpTree
    3.3 Auxiliary Functions
      3.3-1 NqReadOutput
      3.3-2 NqStringFpGroup
      3.3-3 NqStringExpTrees
      3.3-4 NqElementaryDivisors
    3.4 Global Variables
      3.4-1 NqRuntime
      3.4-2 NqDefaultOptions
      3.4-3 NqGlobalVariables
    3.5 Diagnostic Output
  4. Examples
    4.1 Right Engel elements
  5. Installation of the Package
  
  
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