On stable equivalences and blocks with one simple module

被引：13
|
作者：
Kessar, Radha [1 ]
Linckelmann, Markus [1 ]
机构：
[1] Univ Aberdeen, Inst Math, Aberdeen AB24 3UE, Scotland
来源：
JOURNAL OF ALGEBRA | 2010年 / 323卷 / 06期
关键词：
Block theory; Alperin's conjecture; RINGS;
D O I：
10.1016/j.jalgebra.2010.01.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Using a stable equivalence due to Rouquier, we show that Alperin's weight conjecture holds for any p-block of a finite group with defect 2 whose Brauer correspondent has a unique isomorphism class of simple modules. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：1607 / 1621
页数：15
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