A reduction theorem for Dade's projective conjecture

被引：9
|
作者：
Spaeth, Britta [1 ]
机构：
[1] Berg Univ Wuppertal, Fak Math & Nat Wissensch, Gaussstr 20, D-42119 Wuppertal, Germany
来源：
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2017年 / 19卷 / 04期
基金：
欧洲研究理事会;
关键词：
Dade's (projective) conjecture; block theory; representations of finite groups; ALPERIN WEIGHT CONJECTURE; COUNTING CHARACTERS; BLOCKS;
D O I：
10.4171/JEMS/688
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a strengthening of Dade's Conjecture. This version, called the Character Triple Conjecture, once assumed for quasisimple groups, is shown to imply Dade's Projective Conjecture for all finite groups. In particular Dade's Projective Conjecture holds for a group whose nonabelian simple sections have only covering groups satisfying the Character Triple Conjecture. We verify the new conjecture for some classes of quasisimple groups.
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页码：1071 / 1126
页数：56
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