RCG(R)-signalizers in finite groups

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Let r be a prime and suppose the r-group R acts as a group of automorphisms on the r'-group G. We study the RCG(R)-invariant subgroups of G and how they influence the structure of G. An application to the study of the automorphism group of a simple group is presented. (C) 2010 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)1983-1992
Number of pages10
JournalJournal of Algebra
Issue number7
Publication statusPublished - 1 Apr 2010


  • Coprime
  • Signalizer
  • Automorphism


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