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.0000-0002-0442-7269Z.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.https://jas.shahroodut.ac.ir/article_1097_93130e6e1cee6308e51da0e234136680.pdf