Dade's inductive conjecture for the ree groups of type G2 in the defining characteristic

被引：8

作者：

Eaton, CW ^{[1
]}

机构：

[1] Univ Leicester, Dept Math & Comp Sci, Leicester LE1 7RH, Leics, England

来源：

JOURNAL OF ALGEBRA | 2000年 / 226卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

Alperin's conjecture; Dade's conjecture; character theory; finite groups of Lie type; modular representation theory;

D O I：

10.1006/jabr.1999.8214

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We verify the inductive form of Dade's conjecture for the finite simple groups (2)G(2)(3(2m+1)), where m is a positive integer, for the prime p = 3. Together with work by J. An (1994, Indian J. Math. 36, 7-27) this completes the verification of the conjecture for this series of groups. (C) 2000 Academic Press.

引用

页码：614 / 620

页数：7

共 15 条

[1]

Alperin J.L., 1986, P S PURE MATH, V47, P369

[2]

AN J, 1994, INDIAN J MATH, V36, P7

[3] MODULAR REPRESENTATION-THEORY OF FINITE-GROUPS WITH SYLOW,T.I. P-SUBGROUPS [J].

BLAU, HI ;

MICHLER, GO .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 319 (02) :417-468

[4] BRAUER MORPHISM BETWEEN MODULAR HECKE ALGEBRAS [J].

CABANES, M .

JOURNAL OF ALGEBRA, 1988, 115 (01) :1-31

[5]

Carter R. W., 1972, SIMPLE GROUPS TYPE

[6] COUNTING CHARACTERS IN BLOCKS, I [J].

DADE, EC .

INVENTIONES MATHEMATICAE, 1992, 109 (01) :187-210

[7]

Dade EC, 1997, OHIO ST U M, V6, P45

[8]

DADE EC, 1994, J REINE ANGEW MATH, V448, P97

[9]

Isaacs I.M., 1976, CHARACTER THEORY FIN

[10]

KNORR R, 1989, J LOND MATH SOC, V39, P48

← 1 2 →