秩为 4 的无性缺陷群 2 块的莫里塔等价类

IF 1 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2024-05-31 DOI:10.1112/jlms.12943

Charles W. Eaton, Michael Livesey

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引用次数: 0

摘要

我们对所有具有秩为 4 的无性缺陷群的 2 块进行了莫里塔等价分类。该分类适用于合适的离散估值环上的组块以及代数闭域上的组块。一个应用是，布劳埃的无性缺陷群猜想对这里考虑的所有图块都成立。

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Morita equivalence classes of 2-blocks with abelian defect groups of rank 4

We classify all 2-blocks with abelian defect groups of rank 4 up to Morita equivalence. The classification holds for blocks over a suitable discrete valuation ring as well as for those over an algebraically closed field. An application is that Broué's abelian defect group conjecture holds for all blocks under consideration here.

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.