Non-abelian composition factors of l-Brauer m-rational groups

被引：0

作者：

Trefethen, Stephen ^{[1
]}

机构：

[1] Coll William & Mary, Dept Math, Williamsburg, VA 23185 USA

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2018年 / 222卷 / 10期

关键词：

REPRESENTATIONS; CHARACTERS;

D O I：

10.1016/j.jpaa.2017.11.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is known that sporadic groups, alternating groups, and only finitely many groups of Lie type may occur as non-abelian composition factors of non-solvable m-rational groups. In this paper, we prove a similar statement for l-Brauer m-rational groups, and give an explicit list of the possible non-abelian composition factors of l-Brauer rational groups. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：2989 / 3004

页数：16

共 17 条

[1]

[Anonymous], J LOND MATH SOC

[2]

Carter Roger W., 1993, FINITE GROUPS LIE TY

[3]

Conway J. H., 1985, MATHBB ATLAS FINITE

[4] REPRESENTATIONS OF REDUCTIVE GROUPS OVER FINITE-FIELDS [J].

DELIGNE, P ;

LUSZTIG, G .

ANNALS OF MATHEMATICS, 1976, 103 (01) :103-161

[5]

Digne F., 1991, London Math. Soc. Student Texts, V21

[6] CHEVIE - A system for computing and processing generic character tables [J].

Geck, M ;

Hiss, G ;

Lubeck, F ;

Malle, G ;

Pfeiffer, G .

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 1996, 7 (03) :175-210

[7]

Gorenstein D., 1994, CLASSIFICATION FINIT, V40

[8] Low-dimensional representations of special unitary groups [J].

Hiss, G ;

Malle, G .

JOURNAL OF ALGEBRA, 2001, 236 (02) :745-767

[9]

Isaacs I.M., 2006, CHARACTER THEORY FIN

[10]

Kleidman P. B., 1990, LMS Lecture Note Series, V129

← 1 2 →