The blockwise Alperin weight conjecture and inertial blocks

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2025-03-06 DOI:10.1016/j.jalgebra.2025.01.030

Xueqin Hu, Yuanyang Zhou

引用次数: 0

Abstract

In this paper, we prove that the inductive blockwise Alperin weight condition holds for inertial blocks. As an application, we give an alternative proof to the blockwise Alperin weight conjecture for 2-blocks with abelian defect groups.

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在本文中，我们证明了惯性块的归纳顺时针阿尔佩林权重条件成立。作为应用，我们给出了对具有非等缺陷群的 2 块的顺时针方向阿尔佩林权重猜想的另一种证明。

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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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.