2005•Journal of Mathematical Research and ExpositionRequires access
Influence of s-Semipermutability of Some Subgroups of Prime Power Order on Structure of Finite Groups
Qinhai Zhang
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Abstract
A subgroup H of a finite group G is called semipermutable if it is permutable with every subgroup K of G with (|H|,|K|) = 1, and s-semipermutable if it is permutable with every Sylow p-subgroup of G with (p,|H|) = 1. In this paper, we investigate the influence of s-semipermutablity of some subgroups of prime power order of a finite group on its supersolvablility.