F-s-Normality of Subgroups and Its Properties

摘要

Let G be a finite group and F a class of finite groups. A subgroup H of G is called F-s-normal in G if there exists a subnormal subgroup T of G such that HT is a normal subgroup of G and(H ∩ T)H_G/H_G is contained in the F-hypercenter Z{G/H_G)of G/H_G. We obtain some results about the Fs-normal subgroups and use them to determine the structure of some groups.