THE ALPERIN WEIGHT CONJECTURE AND DADE'S CONJECTURE FOR THE SIMPLE GROUP Fi24′

被引：9

作者：

An, Jianbei ^{[1
]}

Cannon, John J. ^{[2
]}

O'Brien, E. A. ^{[1
]}

Unger, W. R. ^{[2
]}

机构：

[1] Univ Auckland, Dept Math, Auckland, New Zealand

[2] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia

来源：

LMS JOURNAL OF COMPUTATION AND MATHEMATICS | 2008年 / 11卷

基金：

澳大利亚研究理事会;

关键词：

D O I：

10.1112/S1461157000000541

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We classify the radical p-subgroups and chains of the Fischer simple group Fi(24)' and then verify the Alperin weight conjecture and the Uno reductive conjecture for Fi(24)'.

引用

页码：100 / 145

页数：46

共 24 条

[1] Alperin J.L., 1986, P S PURE MATH, V47, P369
[2] Modular representation theory of blocks with trivial intersection defect groups
An, JB
Eaton, CW
[J]. ALGEBRAS AND REPRESENTATION THEORY, 2005, 8 (03) : 427 - 448
[3] The p-local rank of a block
An, JB
Eaton, CW
[J]. JOURNAL OF GROUP THEORY, 2000, 3 (04) : 369 - 380
[4] A local strategy to decide the Alperin and Dade conjectures
An, JB
O'Brien, EA
[J]. JOURNAL OF ALGEBRA, 1998, 206 (01) : 183 - 207
[5] The Alperin and Dade conjectures for the Fischer simple group Fi23
An, JB
O'Brien, EA
[J]. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 1999, 9 (06) : 621 - 670
[6] The Magma algebra system .1. The user language
Bosma, W
Cannon, J
Playoust, C
[J]. JOURNAL OF SYMBOLIC COMPUTATION, 1997, 24 (3-4) : 235 - 265
[7] THEOREM OF BOREL AND TITS FOR FINITE CHEVALLEY GROUPS
BURGOYNE, N
WILLIAMSON, C
[J]. ARCHIV DER MATHEMATIK, 1976, 27 (05) : 489 - 491
[8] GENERATING RANDOM ELEMENTS OF A FINITE-GROUP
CELLER, F
LEEDHAMGREEN, CR
MURRAY, SH
NIEMEYER, AC
OBRIEN, EA
[J]. COMMUNICATIONS IN ALGEBRA, 1995, 23 (13) : 4931 - 4948
[9] COUNTING CHARACTERS IN BLOCKS, I
DADE, EC
[J]. INVENTIONES MATHEMATICAE, 1992, 109 (01) : 187 - 210
[10] Dade EC, 1997, OHIO ST U M, V6, P45

← 1 2 3 →