Article ID Journal Published Year Pages File Type
4587941 Journal of Algebra 2008 11 Pages PDF
Abstract

Let A be a finite abelian group that acts fixed point freely on a finite (solvable) group G. Assume that |G| 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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory