on semi-$pi$-property of subgroups of finite group

نویسندگان

a. liu

school of applied mathematics‎, ‎chengu information technology‎, ‎chengdu 610225‎, ‎p‎. ‎r‎. ‎china. q. chen

college of science‎, ‎hohai university‎, ‎nanjing 210098‎, ‎p‎.‎r‎. ‎china; yancheng institute of technology‎, ‎yancheng 224051‎, ‎p‎.‎r‎. ‎china.

چکیده

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 $hcap t$ 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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On semi-$Pi$-property of subgroups of finite group

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 $Hcap T$ 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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bulletin of the iranian mathematical society

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