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.
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页码：1966 / 1990
页数：25
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