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arXiv · 1301.6826

Finite groups in which SS-permutability is a transitive relation

Xiaoyu Chen·Wenbin Guo
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Abstract

A subgroup $H$ of a finite group $G$ is said to be SS-permutable in $G$ if $H$ has a supplement $K$ in $G$ such that $H$ permutes with every Sylow subgroup of $K$. A finite group $G$ is called an SST-group if SS-permutability is a transitive relation on the set of all subgroups of $G$. The structure of SST-groups is investigated in this paper.

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Xiaoyu Chen, Wenbin Guo. 2014-03-02. Finite groups in which SS-permutability is a transitive relation. https://doi.org/10.1007/s10474-014-0398-0

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