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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