Groups with the same character degrees as sporadic quasisimple groups

被引：0

作者：

Moghadam, S. Madady ^{[1
]}

Iranmanesh, A. ^{[1
]}

机构：

[1] Tarbiat Modares Univ, Fac Math Sci, Dept Math, POB 14115-137, Tahran, Iran

来源：

COMMUNICATIONS IN ALGEBRA | 2021年 / 49卷 / 05期

关键词：

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.

引用

页码：1966 / 1990

页数：25

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