TY - JOUR
ID - 726
TI - ON FINITE GROUPS IN WHICH SS-SEMIPERMUTABILITY IS A TRANSITIVE RELATION
JO - Journal of Algebraic Systems
JA - JAS
LA - en
SN - 2345-5128
AU - Mirdamadi, S.E.
AU - Rezaeezadeh, Gh.R
AD - Department of Mathematics, University of Shahrekord, P.O.Box 115, Shahrekord,
Iran.
Y1 - 2016
PY - 2016
VL - 4
IS - 1
SP - 29
EP - 36
KW - SS-semipermutable subgroups
KW - S-semipermutable subgroups
KW - PST-groups
DO - 10.22044/jas.2016.726
N2 - 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).
UR - http://jas.shahroodut.ac.ir/article_726.html
L1 - http://jas.shahroodut.ac.ir/article_726_4dada44a60bbc33404cb7f7dcf783e40.pdf
ER -