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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.
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- Copyright ©2013 Australian Mathematical Publishing Association Inc.
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