Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4587941 | Journal of Algebra | 2008 | 11 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Algebra and Number Theory