Some new characterisations of finite $p$-supersolvable groups

C. Li; N. Yang; N. Tang

Some new characterisations of finite $p$ -supersolvable groups

Authors

C. Li
N. Yang
N. Tang

Abstract

Let

$G$ be a finite group. A subgroup

$H$ of

$G$ is said to be

$E$ -supplemented in

$G$ if there is a subgroup

$T$ of

$G$ such that

$G$ =

$HT$ and

$H\cap T\leq H_{eG}$ , where

$H_{eG}$ denotes the subgroup of

$H$ generated by all those subgroups of

$H$ which are

$S$ -quasinormally embedded in

$G$ . In this paper, some new characterisations of

$p$ -supersolubility of finite groups are given under the assumption that some primary subgroups are

$E$ -supplemented. DOI: 10.1017/S0004972713000907

Published

2014-03-25

Issue

Vol. 89 No. 3 (2014)

Section

Articles

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