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

这个项目涉及到各种问题， 简单代数群和有限群的子群结构。 在 特别是，主要研究者将确定最大 有限Lie型群的子群及其伴随 代数群 表示论的相关问题 将对这些群体进行研究。 根据有限单群的分类，它是 显然，应用程序将需要最大的知识， 子组和表示。 该奖项支持研究 这将决定这个结构。

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.