Steenrod operations on the Chow ring of a classifying space
Abstract
Description
We use the Steenrod algebra to study $CH^*BG$, the mod $p$ Chow ring of the classifying space of $G$. We describe a localization property which relates a given $G$ to its elementary abelian subgroups, and we study a number of particular cases, namely symmetric groups and Chevalley groups. It turns out that the Chow rings of these groups are completely determined by the abelian subgroups and their fusion.
32 pages, uses elsart.cls, submitted to Adv. Math
32 pages, uses elsart.cls, submitted to Adv. Math