GROUPS WITH THE SAME CHARACTER DEGREES AS SPORADIC ALMOST SIMPLE GROUPS

被引：5

作者：

Alavi, Seyed Hassan ^{[1
]}

Daneshkhah, Ashraf ^{[1
]}

Jafari, Ali ^{[1
]}

机构：

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

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2016年 / 94卷 / 02期

关键词：

character degrees; almost simple groups; sporadic simple groups; Huppert's conjecture; HUPPERTS CONJECTURE;

D O I：

10.1017/S0004972716000253

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 G is a finite group and H is an almost simple group whose socle is a sporadic simple group H-0 and such that cd(G) = cd(H), then G' congruent to H-0 and there exists an abelian subgroup A of G such that G/A is isomorphic to H. In view of Huppert's conjecture, we also provide some examples to show that G is not necessarily a direct product of A and H, so that we cannot extend the conjecture to almost simple groups.

引用

页码：254 / 265

页数：12

共 11 条

[1] ON HUPPERT'S CONJECTURE FOR THE CONWAY AND FISCHER FAMILIES OF SPORADIC SIMPLE GROUPS [J].