FINITE GROUPS WITH SOME SS-EMBEDDED SUBGROUPS

We call H an SS-embedded subgroup of G if there exists a normal subgroup T of G such that HT is subnormal in G and H \ T  HsG, where HsG is the maximal s-permutable subgroup of G contained in H. In this paper, we investigate the in uence of some SS-embedded subgroups on the structure of a nite group G. Some new results were obtained.