%0 Journal Article
%T ON FINITE GROUPS IN WHICH SS-SEMIPERMUTABILITY IS A TRANSITIVE RELATION
%J Journal of Algebraic Systems
%I Shahrood University of Technology
%Z 2345-5128
%A Mirdamadi, S.E.
%A Rezaeezadeh, Gh.R
%D 2016
%\ 09/01/2016
%V 4
%N 1
%P 29-36
%! ON FINITE GROUPS IN WHICH SS-SEMIPERMUTABILITY IS A TRANSITIVE RELATION
%K SS-semipermutable subgroups
%K S-semipermutable subgroups
%K PST-groups
%R 10.22044/jas.2016.726
%X Let H be a subgroup of a finite group G. We say that H is SS-semipermutable in Gif H has a supplement K in G such that H permutes with every Sylow subgroup X of Kwith (jXj; jHj) = 1. In this paper, the Structure of SS-semipermutable subgroups, and finitegroups in which SS-semipermutability is a transitive relation are described. It is shown thata finite solvable group G is a PST-group if and only if whenever H K are two p-subgroupsof G, H is SS-semipermutable in NG(K).
%U http://jas.shahroodut.ac.ir/article_726_4dada44a60bbc33404cb7f7dcf783e40.pdf