Moufang Polygons

小行星9801194韦斯 1974年，Jacques Tits将球形建筑物分类为至少三级。 广义多边形是秩为2的球形建筑物。 李秩二的经典单群和代数单群的球形建筑物的广义多边形都满足Moufang性质。 山雀和首席研究员最近对Moufang多边形进行了分类。 主要研究者将调查这项工作中出现的各种问题。 其中最重要的是关于特殊四合院的存在和结构。 这个项目的研究涉及有限几何和变换群对这些几何的作用之间的相互作用。 这项工作的影响有限群的结构，代数编码理论，有限几何。

9801194 Weiss In 1974, Jacques Tits Classified buildings of spherical type which are of rank at least three. Generalized polygons are spherical buildings of rank two. The generalized polygons which are spherical buildings of classical and algebraic simple groups of Lie rank two all satisfy the Moufang property. Tits and the principal investigator have recently classified Moufang polygons. The principal investigator will investigate various questions which arise out of this work. The most important of these concern the existence and structure of the exceptional quadrangles. The research in this project involves the interplay between finite geometry and the actions of groups of transformations on these geometries. This work has implications for the structure of finite groups, for algebraic coding theory, and for finite geometry.