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Abstract
Let G be a finite group acting faithfully on a finite vector space M in such a way that the centralizer of every element of M contains a Sylow q-subgroup of G as a central subgroup (for a fixed prime divisor q of |G| with (q, |M|) = 1). Then G is isomorphic to a subgroup of the semi-linear group on M.
Received: 2009-02-25
Published Online: 2010-03-10
Published in Print: 2010-July
© de Gruyter 2010