Isolated involutions whose centraliser is soluble

Rebecca Waldecker

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We analyse a minimal counterexample to Glauberman's Z*-Theorem from a local group theoretic point of view. One of the main results is a group theoretic proof for the P-Theorem in the special case where the centraliser of an isolated involution is soluble. (c) 2008 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)1561-1592
Number of pages32
JournalJournal of Algebra
Volume321
Issue number5
DOIs
Publication statusPublished - 1 Mar 2009

Keywords

  • Isolated involution
  • Involution centraliser
  • Finite groups
  • Soluble

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