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arXiv · 1805.05812

Supersolvable Frobenius groups with nilpotent centralizers

Jhone Caldeira·Emerson de Melo
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Abstract

Let $FH$ be a supersolvable Frobenius group with kernel $F$ and complement $H$. Suppose that a finite group $G$ admits $FH$ as a group of automorphisms in such a manner that $C_G(F)=1$ and $C_{G}(H)$ is nilpotent of class $c$. We show that $G$ is nilpotent of $(c,\left|FH\right|)$-bounded class.

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Jhone Caldeira, Emerson de Melo. 2018-05-15. Supersolvable Frobenius groups with nilpotent centralizers. https://arxiv.org/abs/1805.05812

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