Blocks with extraspecial defect groups of finite quasisimple groups

被引:5
作者
An, Jianbei [1 ]
Eaton, Charles W. [2 ]
机构
[1] Univ Auckland, Dept Math, Auckland, New Zealand
[2] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England
关键词
Modular representation; Blocks; Defect groups; Extraspecial groups; Quasisimple groups; ALPERIN WEIGHT CONJECTURE; CHARACTER DEGREES; DADE CONJECTURES; CLASSICAL-GROUPS; P-BLOCKS;
D O I
10.1016/j.jalgebra.2010.09.011
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We classify all blocks of finite quasisimple groups with extraspecial defect groups. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码:301 / 321
页数:21
相关论文
共 29 条
[1]  
An J., 1991, THESIS U ILLINOIS CH
[2]   The Alperin and Dade conjectures for the Conway simple group Co1 [J].
An, JB ;
O'Brien, EA .
ALGEBRAS AND REPRESENTATION THEORY, 2004, 7 (02) :139-158
[3]   The Alperin and Dade conjectures for the Fischer simple group Fi23 [J].
An, JB ;
O'Brien, EA .
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 1999, 9 (06) :621-670
[4]   WEIGHTS FOR CLASSICAL-GROUPS [J].
AN, JB .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 342 (01) :1-42
[5]  
AN JB, CONTROLLED BLO UNPUB
[6]   The Alperin weight conjecture and Uno's conjecture for the Monster M, p odd [J].
An, Jianbei ;
Wilson, R. A. .
LMS JOURNAL OF COMPUTATION AND MATHEMATICS, 2010, 13 :320-356
[7]   THE ALPERIN WEIGHT CONJECTURE AND DADE'S CONJECTURE FOR THE SIMPLE GROUP Fi24′ [J].
An, Jianbei ;
Cannon, John J. ;
O'Brien, E. A. ;
Unger, W. R. .
LMS JOURNAL OF COMPUTATION AND MATHEMATICS, 2008, 11 :100-145
[8]  
[Anonymous], LMS J COMPUT MATH
[9]  
BROUE M, 1986, ASTERISQUE, P159
[10]   LOCAL-STRUCTURE OF THE P-BLOCKS OF SN [J].
CABANES, M .
MATHEMATISCHE ZEITSCHRIFT, 1988, 198 (04) :519-543