How does Diagonal Subgroup Embedding Determine the Structure of a Group?  

作　　者：Shouhong Qiao Guohua Qian Yanming Wang 

机构地区：[1]School of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006,People's Republic of China [2]Department of Mathematics,Changshu Institute of Technology,Changshu,Jiangsu 215500,People's Republic of China [3]Lingnan College and School of Mathematics,Sun Yat-sen University,Guangzhou 510275,People's Republic of China

出　　处：《Communications in Mathematics and Statistics》2016年第4期423-433,共11页数学与统计通讯（英文）

基　　金：the NSF of China(Nos.11201082,11471054,11671063),the NSF of Jiangsu Province(No.BK20161265);Cultivation Program for Outstanding Young College Teachersof Guangdong Province(Yq2013061).

摘　　要：Let G be a finite group.Let D={(g,g)|g∈C},the main diagonalsubgroup of G x G.In this paper,we consider the suitable generalized normalities orindex of D in G x G,some interesting results are obtained.

关 键 词：Main diagonal subgroups Abelian groups Nilpotent groups Supersoluble groups Soluble groups 

分 类 号：O17[理学—数学]