On ζs -Quasinormality of 2-Maximal Subgroups

摘要

Let ζ be a class of finite groups. A subgroup H of a finite group G is said to be ζs-quasinormal in G if there exists a normal subgroup T of G such that HT is s-permutable in G and （H ∩T ）HG /HG is contained in the ζ-hypercenter ZF∞ （G/H G ） of G/H G . In this paper, we use ζs-quasinormal subgroups to study the structure of finite groups. Some new results are obtained.