Finite groups admitting a dihedral group of automorphisms
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KünyeErcan, G., Guloglu, I. S. (2017). Finite groups admitting a dihedral group of automorphisms. Algebra and Discrete Mathematics, 23(2), 223-229.
Let D = alpha, beta be a dihedral group generated by the involutions alpha and beta and let F = alpha beta). Suppose that D acts on a finite group G by automorphisms in such a way that C-G(F)= 1. In the present paper we prove that the nilpotent, length of the group Cr' is equal to the maximum of the nilpotent lengths of the subgroups C-G (alpha) and C-G(beta).