COMPUTING WITH ENDOMORPHISM-RINGS OF MODULAR-REPRESENTATIONS

被引：15

作者：

SCHNEIDER, GJA

机构：

[1] Institut für Experimentelle Mathematik, Universität Essen, Essen

来源：

JOURNAL OF SYMBOLIC COMPUTATION | 1990年 / 9卷 / 5-6期

关键词：

D O I：

10.1016/S0747-7171(08)80078-8

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper presents several new algorithms for computing properties of modular group representations including indecomposability, vertices and sources. These methods are all implemented as part of the CAYLEY system. New results obtained using these methods are presented. © 1990, Academic Press Limited. All rights reserved.

引用

页码：607 / 636

页数：30

共 14 条

[1]

Cannon J.J., 1984, COMPUTATIONAL GROUP, P145

[2]

Curtis C. W., 1981, METHODS REPRESENTATI, VI

[3]

Feit W., 1982, REPRESENTATION THEOR

[4]

GREEN J. A., 1958, MATH Z, V70, P430, DOI 10.1007/BF01558601

[5] THE BRAUER CHARACTERS OF THE HALL-JANKO GROUP [J].

HISS, G ;

LUX, K .

COMMUNICATIONS IN ALGEBRA, 1988, 16 (02) :357-398

[6]

HUPPERT B, 1983, FINITE GROUPS, V2

[7] MODULAR CHARACTERS OF MATHIEU GROUPS [J].

JAMES, GD .

JOURNAL OF ALGEBRA, 1973, 27 (01) :57-111

[8]

Jennings SA, 1941, T AM MATH SOC, V50, P175

[9]

LANDROCK P, 1983, LMS LECTURE NOTES, V84

[10]

Parker R., 1984, COMP GROUP THEOR P S, P267

← 1 2 →