Morita equivalence classes of tame blocks of finite groups

被引：3

作者：

Macgregor, Norman ^{[1
]}

机构：

[1] Univ Birmingham, Sch Math, Birmingham, England

来源：

JOURNAL OF ALGEBRA | 2022年 / 608卷

基金：

英国工程与自然科学研究理事会;

关键词：

Block; Morita equivalence; Defect group; Tame algebra; Quasi-simple; DELIGNE-LUSZTIG VARIETIES; REDUCTIVE GROUPS; DEFECT-GROUPS; CLIFFORD THEORY; MACKEY FORMULA; 2-BLOCKS; ALGEBRAS; CHARACTERS; DECOMPOSITION; QUATERNION;

D O I：

10.1016/j.jalgebra.2022.06.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that several Morita equivalence classes of tame algebras do not occur as blocks of finite groups. This refines classifications by Erdmann of classes of blocks with dihedral, semidihedral, and generalised quaternion defect groups. In particular we now have a complete classification of the Morita equivalence classes of blocks of finite groups with dihedral defect groups.(c) 2022 The Author. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

引用

页码：719 / 754

页数：36

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