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SOME NEW CHARACTERISATIONS OF FINITE
$p$-SUPERSOLUBLE GROUPS
Published online by Cambridge University Press: 08 November 2013
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.
- Type
- Research Article
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- Copyright
- Copyright ©2013 Australian Mathematical Publishing Association Inc.
References
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