On groups with the same character degrees as almost simple groups with socle Mathieu groups

被引：5

作者：

Alavi, Seyed Hassan ^{[1
]}

Daneshkhah, Ashraf ^{[1
]}

Jafari, Ali ^{[1
]}

机构：

[1] Bu Ali Sina Univ, Dept Math, Hamadan, Iran

来源：

RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA | 2017年 / 138卷

关键词：

Character degrees; almost simple groups; sporadic simple groups; Mathieu simple groups; Huppert's Conjecture; VERIFYING HUPPERTS CONJECTURE; FINITE; SET;

D O I：

10.4171/RSMUP/138-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finite group and cd(G) denote the set of complex irreducible character degrees of G. In this paper, we prove that if G is a finite group and H is an almost simple group whose socle is a Mathieu group such that cd(G) = cd(H), then there exists an abelian subgroup A of G such that G/A is isomorphic to H. In view of Huppert's conjecture (2000), we also provide some examples to show that G is not necessarily a direct product of A and H, and hence we cannot extend this conjecture to almost simple groups.

引用

页码：115 / 127

页数：13

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