Action and Conjugation

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


The notion of an action plays an important role in the theory of finite groups. The first section of this chapter introduces the basic ideas and results concerning group actions. In the other two sections the action on cosets is used to prove important theorems of Sylow, Schur-Zassenhaus and Gaschütz.


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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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