Shahrood University of TechnologyJournal of Algebraic Systems2345-51285220180101ON p-NILPOTENCY OF FINITE GROUPS WITH SS-NORMAL SUBGROUPS139148109710.22044/jas.2017.5274.1270ENG. R. REZAEEZADEHDepartment of Mathematics, University of Shahrekord, P.O.Box 115, Shahrekord,
Iran.Z. AGHAJARIDepartment of Mathematics, University of Shahrekord, P.O.Box 115, Shahrekord,
Iran.Journal Article20170109Abstract. A subgroup H of a group G is said to be SS-embedded<br /> in G if there exists a normal subgroup T of G such that HT is<br /> subnormal in G and H T H sG , where H sG is the maximal s-<br /> permutable subgroup of G contained in H. We say that a subgroup<br /> H is an SS-normal subgroup in G if there exists a normal subgroup<br /> T of G such that G = HT and H T H SS , where H SS is an<br /> SS-embedded subgroup of G contained in H. In this paper, we<br /> study the inﬂuence of some SS-normal subgroups on the structure<br /> of a ﬁnite group G.http://jas.shahroodut.ac.ir/article_1097_93130e6e1cee6308e51da0e234136680.pdf