Finite groups in which SS-permutability is a transitive relation

Xiaoyu Chen; Wenbin Guo

doi:10.1007/s10474-014-0398-0

Finite groups in which SS-permutability is a transitive relation

Group Theory 2015-08-05 v2

Authors: 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.

Keywords

finite group theory permutation groups wreath product of groups

Cite

@article{arxiv.1301.6826,
  title  = {Finite groups in which SS-permutability is a transitive relation},
  author = {Xiaoyu Chen and Wenbin Guo},
  journal= {arXiv preprint arXiv:1301.6826},
  year   = {2015}
}

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