On a question by Roggenkamp about group algebras

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2025-10-10 DOI:10.1016/j.jalgebra.2025.09.014

Dylan Johnston, Dmitriy Rumynin

引用次数: 0

Abstract

We investigate whether the group algebra of a finite group over a localisation of the integers is semiperfect. The main result is a necessary and sufficient arithmetic criterion in the ordinary case. In the modular case, we propose a conjecture, which extends the criterion.

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关于罗根坎普关于群代数的一个问题

研究了整数局部上有限群的群代数是否是半完全的。其主要结果是一般情况下的一个充要数准则。在模的情况下，我们提出了一个猜想，扩展了该判据。

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.