Shahrood University of TechnologyJournal of Algebraic Systems2345-51284120160901ON FINITE GROUPS IN WHICH SS-SEMIPERMUTABILITY IS A TRANSITIVE RELATION293672610.22044/jas.2016.726ENS.E.MirdamadiDepartment of Mathematics, University of Shahrekord, P.O.Box 115, Shahrekord,
Iran.Gh.RRezaeezadehDepartment of Mathematics, University of Shahrekord, P.O.Box 115, Shahrekord,
Iran.Journal Article20151021Let H be a subgroup of a finite group G. We say that H is SS-semipermutable in G<br />if H has a supplement K in G such that H permutes with every Sylow subgroup X of K<br />with (jXj; jHj) = 1. In this paper, the Structure of SS-semipermutable subgroups, and finite<br />groups in which SS-semipermutability is a transitive relation are described. It is shown that<br />a finite solvable group G is a PST-group if and only if whenever H K are two p-subgroups<br />of G, H is SS-semipermutable in NG(K).http://jas.shahroodut.ac.ir/article_726_4dada44a60bbc33404cb7f7dcf783e40.pdf