Finite groups admitting a dihedral group of automorphisms

2017-01-01
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).
ALGEBRA & DISCRETE MATHEMATICS

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Citation Formats
G. Ercan, “Finite groups admitting a dihedral group of automorphisms,” ALGEBRA & DISCRETE MATHEMATICS, pp. 223–229, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/55774.