秩为 4 的无性缺陷群 2 块的莫里塔等价类

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.