On ζs -Quasinormality of 2-Maximal Subgroups

作     者：Yufeng LIU Xiaolong YU Lijun HUO 

作者机构：School of Mathematical and Information Science Shandong Institute of Business and Technology School of Mathematical Sciences University of Science and Technology of China 

出 版 物：《Journal of Mathematical Research with Applications》 (数学研究及应用(英文版))

年 卷 期：2013年第33卷第4期

页      面：412-418页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11071147) Doctoral Program Foundation of Institutions of Higher Education of China(Grant No.20113402110036) 

主　　题：ζs-quasinormal subgroup Sylow subgroup maximal subgroup 2-maximal subgroup. 

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.