| On X-Semipermutability of Some Subgroups of Finite Groups |
| Received:October 03, 2008 Revised:May 16, 2009 |
| Key Words:
finite groups $X$-semipermutable subgroups supersoluble groups $p$-nilpotent groups.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.10771172; 10771180). |
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| Abstract: |
| Let $A$ be a subgroup of a group $G$ and $X$ a nonempty subset of $G$. $A$ is said to be $X$-semipermutable in $G$ if $A$ has a supplement $T$ in $G$ such that $A$ is $X$-permutable with every subgroup of $T$. In this paper, we try to use the $X$-semipermutability of some subgroups to characterize the structure of finite groups. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.05.011 |
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