Cohomology of finite Chevalley groups

有限Chvalley群出现在许多学科中。从代数拓扑学的角度研究了李群的分类空间的有限Chvalley群和自由环空间的上同调。我们计算了几个有限Chvalley群的上同调，包括Brown-Peterson上同调和Morava K-理论，李群的分类空间和李群的分类空间的自由环空间。我们还计算了相关的谱序列。

Finite Chevalley groups appear in many academic disciplines. We investigated the cohomology of finite Chevalley groups and free loop spaces of classifying spaces of Lie groups from the viewpoint of algebraic topology. We computed the cohomology, including Brown-Peterson cohomology and Morava K-theories, for several finite Chevalley groups, classifying spaces of Lie groups and free loop spaces of classifying spaces of Lie groups. We also computed related spectral sequences.