Broue's Conjecture for 2-Blocks with Elementary Abelian Defect Groups of Order 32

被引：1

作者：

Ardito, Cesare Giulio ^{[1
]}

Sambale, Benjamin ^{[2
]}

机构：

[1] City Univ London, Dept Math, Northampton Sq, London EC1V 0HB, England

[2] Leibniz Univ Hannover, Inst Algebra Zahlentheorie & Diskrete Math, Welfengarten 1, D-30167 Hannover, Germany

来源：

ADVANCES IN GROUP THEORY AND APPLICATIONS | 2021年 / 12卷

关键词：

2-block; Morita equivalence; abelian defect group; Broue's conjecture; BLOCKS;

D O I：

10.32037/agta-2021-012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The first author recently classified the Morita equivalence classes of 2-blocks of finite groups with elementary abelian defect groups of order 32. In all but three cases he proved that the Morita equivalence class determines the inertial quotient of the block. We finish the remaining cases by utilizing the theory of lower defect groups. As a corollary, we verify Broue's Abelian Defect Group Conjecture in this situation.

引用

页码：71 / 78

页数：8

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