s-Permutably embedded subgroups and p-supersolvable groups  

作　　者：QIAO ShouHong WANG YanMing 

机构地区：[1]School of Applied Mathematics,Guangdong University of Technology [2]Lingnan College and Department of Mathematics,Sun Yat-sen University

出　　处：《Science China Mathematics》2014年第4期729-736,共8页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos. 11201082 and 11171353);China Postdoctoral Science Foundation (Grant Nos. 2012M521724 and 2013T60866);Natural Science Foundation of Guangdong Province (Grant No. S201204007267)

摘　　要：Let G be a finite group,and H a subgroup of G.H is called s-permutably embedded in G if each Sylow subgroup of H is a Sylow subgroup of some s-permutable subgroup of G.In this paper,we use s-permutably embedding property of subgroups to characterize the p-supersolvability of finite groups,and obtain some interesting results which improve some recent results.Let G be a finite group,and H a subgroup of G.H is called s-permutably embedded in G if each Sylow subgroup of H is a Sylow subgroup of some s-permutable subgroup of G.In this paper,we use s-permutably embedding property of subgroups to characterize the p-supersolvability of finite groups,and obtain some interesting results which improve some recent results.

关 键 词：finite groups s-permutably embedded subgroups p-supersolvable groups 

分 类 号：O152.1[理学—数学]