Mathematical Sciences: Maximal Subgroups of the Finite Groups of Lie Type and Associated Algebraic Groups

本课题研究简单代数群和有限群的子群结构的各种问题。特别地，主要研究者将确定李型和相关代数群的有限群的极大子群。本文将研究这类群体的表征理论的相关问题。随着有限简单群的分类，很明显，应用程序将需要最大子群和表示的知识。该奖项支持的研究将决定这一结构。

This project is concerned with various problems involving the subgroup structure of simple algebraic and finite groups. In particular, the principal investigator will determine the maximal subgroups of the finite groups of Lie type and associated algebraic groups. Related problems on the representation theory of such groups will be studied. Following the classification of finite simple groups, it is evident that applications will require knowlege of maximal subgroups and representations. This award supports research which will determine this structure.