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.
For an irreducible character x of a finite group G,we define its codegree as cod(x)=|G:ker x|/x(1) .In this paper,we introduce some known results x(1)and unsolved problems about character codegrees in finite groups.
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).
文摘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.
基金support provided by the National Natural Science Foundation of China(Grant No.12171058).
文摘For an irreducible character x of a finite group G,we define its codegree as cod(x)=|G:ker x|/x(1) .In this paper,we introduce some known results x(1)and unsolved problems about character codegrees in finite groups.
