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Parallel construction of finite solvable groups

  • Anton Betten
Session F4: Applications: Non Numerical Applications
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1156)

Abstract

An algorithm for the construction of finite solvable groups of small order is given. A parallelized version under PVM is presented. Different models for parallelization are discussed.

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References

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    Marshall Hall, James K. Senior: The groups of order 2n (n≤6). MacMillan Company, New York, London 1964.Google Scholar
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    Reinhard Laue: Zur Konstruktion und Klassifikation endlicher auflösbarer Gruppen. Bayreuther Math. Schr.9 (1982).Google Scholar
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    Steven A. Moyer, V. S. Sunderam: PIOUS for PVM, Version 1.2, User's Guide and Reference Manual. http://www.mathcs.emory.edu/Resesrch/Pious.htmlGoogle Scholar
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    Joachim Neubüser: Die Untergruppenverbände der Gruppen der Ordnungen≤100 mit Ausnahme der Ordnungen 64 und 96. Thesis, Kiel 1967.Google Scholar
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    Edward Anthony O'Brien: The groups of order 256. J. Algebra, 143 (1991), 219–235.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Anton Betten
    • 1
  1. 1.Department of MathematicsUniversity of BayreuthGermany

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