Mathematics – Algebraic Geometry
Scientific paper
2004-03-24
Mathematics
Algebraic Geometry
32 pages, uses elsart.cls, submitted to Adv. Math
Scientific paper
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.
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