Supersolvable Frobenius groups with nilpotent centralizers

2018/05/15 by Caldeira, Jhone, de Melo, Emerson
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1805.05812

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,|FH|)-bounded class.

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