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Permutation Groups

  • Hans Kurzweil
  • Bernd Stellmacher
Part of the Universitext book series (UTX)

Abstract

Let Ω be a set. A group G that acts faithfully on Ω is a permutation group on Ω Every permutation group is isomorphic to a subgroup of S Ω, and every subgroup of S Ω is a permutation group on Ω.

Keywords

Normal Subgroup Symmetric Group Maximal Subgroup Permutation Group Semidirect Product 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York, Inc. 2004

Authors and Affiliations

  • Hans Kurzweil
    • 1
  • Bernd Stellmacher
    • 2
  1. 1.Institute of MathematicsUniversity of Erlangen-NuremburgErlangenGermany
  2. 2.Mathematiches Seminar KielChristian-Albrechts-UniversitätKielGermany

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