JOURNAL OF ALGEBRA, vol.320, no.1, pp.426-436, 2008 (Journal Indexed in SCI)
Article / Article
Title of Journal :
JOURNAL OF ALGEBRA
solvable groups, fixed point free action, finite groups, representations, FINITE-GROUPS
Let A be a finite abelian group that acts fixed point freely on a finite (solvable) group G. Assume that vertical bar G vertical bar is odd and A is of squarefree exponent coprime to 6. We show that the Fitting length of G is bounded by the length of the longest chain of subgroups of A. (C) 2008 Elsevier Inc. All rights reserved.