Character degrees;
Huppert’
s conjecture;
quasisimple groups;
sporadic simple groups;
D O I:
10.1080/00927872.2020.1860215
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
Let G be a finite group and cd(G) denote the set of complex irreducible character degrees of G. We prove that if H not congruent to 2 . M 12 is a sporadic quasisimple group that c d ( G ) = c d ( H ) , then there exists an Abelian subgroup A of G such that G is isomorphic to a central product of H and A.