^{}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.