TY - JOUR
ID - 1097
TI - ON p-NILPOTENCY OF FINITE GROUPS WITH SS-NORMAL SUBGROUPS
JO - Journal of Algebraic Systems
JA - JAS
LA - en
SN - 2345-5128
AU - REZAEEZADEH, G. R.
AU - AGHAJARI, Z.
AD - Department of Mathematics, University of Shahrekord, P.O.Box 115, Shahrekord,
Iran.
Y1 - 2018
PY - 2018
VL - 5
IS - 2
SP - 139
EP - 148
KW - SS-normal subgroup
KW - SS-embedded subgroup
KW - p-nilpotent group
DO - 10.22044/jas.2017.5274.1270
N2 - Abstract. A subgroup H of a group G is said to be SS-embeddedin G if there exists a normal subgroup T of G such that HT issubnormal in G and H \ T ≤ H sG , where H sG is the maximal s-permutable subgroup of G contained in H. We say that a subgroupH is an SS-normal subgroup in G if there exists a normal subgroupT of G such that G = HT and H \ T ≤ H SS , where H SS is anSS-embedded subgroup of G contained in H. In this paper, westudy the inﬂuence of some SS-normal subgroups on the structureof a ﬁnite group G.
UR - https://jas.shahroodut.ac.ir/article_1097.html
L1 - https://jas.shahroodut.ac.ir/article_1097_93130e6e1cee6308e51da0e234136680.pdf
ER -