The structure of blocks with a Klein four defect group

被引：24

作者：

Craven, David A. ^{[3
]}

Eaton, Charles W. ^{[2
]}

Kessar, Radha ^{[1
]}

Linckelmann, Markus ^{[1
]}

机构：

[1] Univ Aberdeen, Inst Math, Aberdeen AB24 3UE, Scotland

[2] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England

[3] Univ Oxford, Math Inst, Oxford OX1 3LB, England

来源：

MATHEMATISCHE ZEITSCHRIFT | 2011年 / 268卷 / 1-2期

关键词：

MORITA EQUIVALENCE CLASSES; SCOPES REDUCTION; SOURCE ALGEBRAS; SIMPLE MODULES; FINITE; CHARACTERS; 2-BLOCKS;

D O I：

10.1007/s00209-010-0679-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove Erdmann's conjecture (J Algebra 76:505-518, 1982) stating that every block with a Klein four defect group has a simple module with trivial source, and deduce from this that Puig's finiteness conjecture holds for source algebras of blocks with a Klein four defect group. The proof uses the classification of finite simple groups.

引用

页码：441 / 476

页数：36