p-adic group rings of finite groups

有限群的 p 进群环

• 批准号: 123863870
• 负责人: Professorin Dr. Gabriele Nebe
• 金额: --
• 依托单位: Lehrstuhl für Algebra und Zahlentheorie
• 依托单位国家: 德国
• 项目类别: Priority Programmes
• 财政年份: 2009
• 资助国家: 德国
• 起止时间: 2008-12-31 至 2011-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/123863870?language=en
• 关键词: adic; group; rings; finite; groups

The p-adic integral group ring of a finite group G encodes both the modular and ordinary representation theory of G. It has a rich structure and its study combines representation theoretic methods with the theory of lattices and orders and therewith results in new approaches that have again applications to the modular group algebra. The project presses ahead with developing a language to describe and study such group rings using algorithmic tools as well as theoretic methods transfered from modular representation theory.

有限群G的p-adic整群环同时编码了G的模表示论和普通表示论。它有一个丰富的结构和它的研究相结合的表示论的方法与理论的格和命令，从而导致新的方法，有再次应用到模群代数。本项目利用模表示理论的算法工具和理论方法，开发了一种描述和研究群环的语言。