砖块的克利福德定理

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2024-10-11 DOI:10.1016/j.jalgebra.2024.09.021

Yuta Kozakai , Arashi Sakai

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引用次数: 0

摘要

设 G 是有限群，N 是 G 的正则子群，k 是特征 p>0 的域。在本文中，我们在适当的假设条件下提出了砖版克利福德定理，并利用广义子类理论证明了这一定理。作为我们定理的一个应用，我们考虑了在 G 中正态子群 N 的索引是 p 幂的假设下半砖和两期简明集合的限制。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Clifford's theorem for bricks

Let G be a finite group, N a normal subgroup of G, and k a field of characteristic

p > 0

. In this paper, we formulate the brick version of Clifford's theorem under suitable assumptions and prove it by using the theory of wide subcategories. As an application of our theorem, we consider the restrictions of semibricks and two-term simple-minded collections under the assumption that the index of the normal subgroup N in G is a p-power.

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来源期刊

Journal of Algebra 数学-数学

CiteScore

1.50

自引率

22.20%

发文量

414

审稿时长

2-4 weeks

期刊介绍： The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.