2016 / June Volume 11 No.2
On S*-Quasinormal Subgroups of Prime Power Order in Finite Groups
Published Date |
2016 / June
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Title | On S*-Quasinormal Subgroups of Prime Power Order in Finite Groups |
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Pagination | 359-369 |
Abstract | Let $H$ be a subgroup of a finite group $G.$
We say that $H$ is $S^*$-quasinormal in $G$ if there is a normal subgroup $K$ of $G$ such that $HK\unlhd G$ and $H \cap K \leq H_{seG,}$
where $H_{seG}$ denotes the subgroup of $H$ generated by all those subgroups of $H$ which are $S$-quasinormally embedded in $G.$
In this paper, we investigate the influence of $S^*$-quasinormal subgroups on the $p$-nilpotency of finite groups. Some recent results are extended and generalized.
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AMS Subject Classification |
20D10, 20D20
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Received |
2015-07-03
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Accepted |
2015-07-04
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