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SOME NEW CHARACTERISATIONS OF FINITE
$p$-SUPERSOLUBLE GROUPS
- Part of
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 89 / Issue 3 / June 2014
- Published online by Cambridge University Press:
- 08 November 2013, pp. 514-521
- Print publication:
- June 2014
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- Article
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- You have access
- Export citation
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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.
