On finite groups admitting a special noncoprime action


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Ercan G.

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, vol.133, no.9, pp.2543-2547, 2005 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 133 Issue: 9
  • Publication Date: 2005
  • Doi Number: 10.1090/s0002-9939-05-08011-1
  • Title of Journal : PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
  • Page Numbers: pp.2543-2547

Abstract

An important result of Turull ( 1984) is the following: Let GA be a finite solvable group, G GA and (vertical bar G vertical bar, vertical bar A vertical bar) = 1. Then f( G) = f(C-G(A)) + 2l(A), where f denotes the Fitting height and l denotes the composition length.