On Huppert's Conjecture for the Monster and Baby Monster

被引：9

作者：

Tong-Viet, Hung P. ^{[2
]}

Wakefield, Thomas P. ^{[1
]}

机构：

[1] Youngstown State Univ, Dept Math & Stat, Youngstown, OH 44555 USA

[2] Univ KwaZulu Natal, Sch Math Sci, ZA-3209 Pietermaritzburg, South Africa

来源：

MONATSHEFTE FUR MATHEMATIK | 2012年 / 167卷 / 3-4期

关键词：

Character degrees; Sporadic groups; MAXIMAL-SUBGROUPS; REPRESENTATIONS; SET;

D O I：

10.1007/s00605-011-0309-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group. Let cd(G) be the set of all complex irreducible character degrees of G. In this paper, we will show that if cd(G) = cd(H), where H is the Monster or the Baby Monster simple sporadic groups, then where A is an abelian group.

引用

页码：589 / 600

页数：12

共 13 条

[1]

[Anonymous], 2007, GAP GROUPS ALG PROGR

[2] Character degree graphs that are complete graphs [J].

Bianchi, Mariagrazia ;

Chillag, David ;

Lewis, Mark L. ;

Pacifici, Emanuele .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 135 (03) :671-676

[3] Explicit representations of maximal subgroups of the Monster [J].

Bray, JN ;

Wilson, RA .

JOURNAL OF ALGEBRA, 2006, 300 (02) :834-857

[4]

Conway J. H., 1985, ATLAS of Finite Groups

[5]

Harris M. E, 1977, J MATH, V7, P289

[6] Some simple groups which are determined by the set of their character degrees I [J].

Huppert, B .

ILLINOIS JOURNAL OF MATHEMATICS, 2000, 44 (04) :828-842

[7]

Huppert B, 2006, REND SEMIN MAT U PAD, V115, P1

[8]

Isaacs I.M., 2006, CHARACTER THEORY FIN

[9] Smallest degrees of representations of exceptional groups of Lie type [J].

Lübeck, F .

COMMUNICATIONS IN ALGEBRA, 2001, 29 (05) :2147-2169

[10]

Vasilev A. V., 1998, Algebra and Logic, V37, P9

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