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On the influence of fixed point free nilpotent automorphism groups
A finite group FH is said to be Frobenius-like if it has a nontrivial nilpotent normal subgroup F with a nontrivial complement H such that for all nonidentity elements . Let FH be a Frobenius-like group with complement H ...
Finite groups admitting a dihedral group of automorphisms
(Lugansk National Taras Shevchenko University, 2017)
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 ...