On finite groups admitting a special noncoprime action

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Ercan G.

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, cilt.133, sa.9, ss.2543-2547, 2005 (SCI-Expanded) identifier identifier

Özet

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.