On semi-$\Pi$-property of subgroups of finite group

Document Type: Research Paper

Authors

School of Applied Mathematics‎, ‎Chengu Information Technology‎, ‎Chengdu 610225‎, ‎P‎. ‎R‎. ‎China.

Abstract

Let $G$ be a group and $H$ a subgroup of $G$‎. ‎ $H$ is said to have semi-$\Pi$-property in $G$ if there is a subgroup $T$ of $G$ such that $G=HT$ and $H\cap T$ has $\Pi$-property in $T$‎. ‎In this paper‎, ‎investigating on semi-$\Pi$-property of subgroups‎, ‎we shall obtain some new description of finite groups‎.

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Volume 43, Issue 1
January and February 2017
Pages 193-204
  • Receive Date: 06 April 2015
  • Revise Date: 01 November 2015
  • Accept Date: 14 February 2017