Author/Authors :
Mirdamadi، Sayed Ebrahim نويسنده Department of Mathematics, University of Shahrekord, P.O.Box 115, Shahrekord, Iran. , , Rezaeezadeh، Gholamreza نويسنده Department of Mathematics, University of Shahrekord, P.O.Box 115, Shahrekord, Iran. ,
Abstract :
Abstract. Let H be a subgroup of a nite group G. We say
that H is SS-semipermutable in G if H has a supplement K in G
such that H permutes with every Sylow subgroup X of K with
(jXj; jHj) = 1. In this paper, the structure of SS-semipermutable
subgroups and the nite groups in which SS-semi-permutability is
a transitive relation are described. It is shown that a nite solvable
group G is a PST-group if and only if whenever H K are two
p-subgroups of G, H is SS-semipermutable in NG(K).
