Document Type : Original Manuscript
Department of Mathematics, University of Shahrekord, P.O.Box 115, Shahrekord, Iran.
Abstract. A subgroup H of a group G is said to be SS-embedded
in G if there exists a normal subgroup T of G such that HT is
subnormal 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 subgroup
H is an SS-normal subgroup in G if there exists a normal subgroup
T of G such that G = HT and H \ T ≤ H SS , where H SS is an
SS-embedded subgroup of G contained in H. In this paper, we
study the inﬂuence of some SS-normal subgroups on the structure
of a ﬁnite group G.