Mathematical Sciences: Groups and Geometries

这个项目是关于利用几何在 研究有限群。主要研究者将 专注于建筑物及其群体，尤其是建筑物 与p-adic群和Kac-Moody型群相关。在 此外，工作将做嵌入几何在射影 空间 支持的研究是在一个关键领域， 数学的各个部分是相互交叉的。该项目致力于 利用有限几何对某些有限群进行分类， 组合学几何学上的联系 约化代数群和Kac-Moody群对于 对有限单群的研究。

This project is concerned with utilizing geometry in the study of finite groups. The principal investigator will concentrate on Buildings and their groups, particularly Buildings associated to p-adic groups and groups of Kac-Moody type. In addition, work will be done on embedding geometries in projective space. The reseach supported is in a crucial area where several parts of mathematics intersect. This project endeavors to classify certain finite groups by using finite geometry and combinatorics. The geometric connection to the theory of reductive algebraic groups and Kac-Moody groups is important for the study of finite simple groups.