"Burnside rings of profinite groups".

“有限群的伯恩赛德环”。

• 批准号: 2114211
• 金额: --
• 依托单位: Lancaster University
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2018
• 资助国家: 英国
• 起止时间: 2018 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2114211
• 关键词: Burnside; rings; profinite; groups

The Burnside ring has long been investigated and used in the context of finite groups and it has found numerous useful applications in finite group representation theory.At present, Burnside rings have been overlooked by group theorists interested in representation theory of profinite groups. With the proposed project, we aim to create a sound theoretical framework of Burnside rings, its variants and Mackey algebras for profinite groups, which enables us to obtain original and important results, and investigate the applications of our theory beyond algebra too.

伯恩赛德环在有限群的研究和应用中有着广泛的应用，但目前伯恩赛德环在研究有限群的表示论时被群论学家所忽视.通过这个项目，我们的目标是建立一个完善的理论框架，伯恩赛德环，它的变种和麦基代数的profinite群，这使我们能够获得原始的和重要的结果，并探讨我们的理论的应用超出代数。