Fixed point free action on groups of odd order
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KünyeGÜLİN, E., GÜLOĞLU, İ.Ş. (2008). Fixed point free action on groups of odd order. Journal of Algebra, Volume 320, Issue 1, pp. 426-436, http://dx.doi.org/10.1016/j.jalgebra.2008.01.033
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.