This article is cited in 23 papers

RESEARCH ARTICLE

A note on $c$-normal subgroups of finite groups

Alexander N. Skiba

Gomel State University of F. Skorina, Belarus, 246019, Gomel, Sovetskaya Str., 104

Abstract: Let $G$ be a finite group. We fix in every non-cyclic Sylow subgroup $P$ of $G$ some its subgroup $D$ satisfying $1<|D|<|P|$ and study the structure of $G$ under assumption that all subgroups $H$ of $P$ with $|H|=|D|$ are $c$-normal in $G$.

Keywords: finite group, supersoluble group, $c$-normal subgroup, maximal subgroup, Sylow subgroup.

MSC: 20D20

Received: 14.06.2005
Revised: 15.09.2005

Language: English

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