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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Research is supported by a NNSF grant of China (grant #11371335) and Research Fund for the Doctoral Program of Higher Education of China (Grant 20113402110036).
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Chen, X.Y., Guo, W.B. Finite Groups in which SS-Permutability is a Transitive Relation. Acta Math. Hungar. 143, 466–479 (2014). https://doi.org/10.1007/s10474-014-0398-0
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DOI: https://doi.org/10.1007/s10474-014-0398-0