On ζ_s -Quasinormality of 2-Maximal Subgroups  

作　　者：Yufeng LIU Xiaolong YU Lijun HUO 

机构地区：[1]School of Mathematical and Information Science, Shandong Institute of Business and Technology [2]School of Mathematical Sciences, University of Science and Technology of China

出　　处：《Journal of Mathematical Research with Applications》2013年第4期412-418,共7页数学研究及应用（英文版）

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)

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

关 键 词：Fs-quasinormal subgroup Sylow subgroup maximal subgroup 2-maximal sub-group 

分 类 号：O152.1[理学—数学] X503.23[理学—基础数学]