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The Embedding of p-Local Subgroups

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

Abstract

Let p be a prime and G a group. A subgroup M ≤ G is a p -local subgroup of G if there exists a nontrivial p-subgroup P ≤ G such that N G (P) = M. Clearly then
$$ 1 \ne P \leqslant {O_{p}}\left( M \right) $$
.

Keywords

Normal Subgroup Finite Group Maximal Subgroup Proper Subgroup Critical Pair 
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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