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Supersolvable Frobenius groups with nilpotent centralizers

Authors:	Jhone Caldeira Emerson de Melo

Affiliation:	1. Instituto de Matemática e Estatística, Universidade Federal de Goiás, Goiânia-GO, 74690-900, Brazil;2. Department of Mathematics, Universidade de Brasília, Brasília-DF, 70910-900, Brazil

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 $(c, \| F H \|)$ -bounded class.

Keywords:	Primary 20D45 secondary 17B70 20D15 20F40
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