Chow rings and cobordism of some Chevalley groups

Abstract

We compute the cobordism ring $M{U}^{\ast }(BG)\otimes {\mathbb{F}}_p$ when $G$ is a Chevalley group. In the particular case of the general linear group, we prove that it agrees with the Chow ring (as defined by Totaro).

18 pages, uses psp.cls, to appear shortly in Math. Proc. Cam. Phil. Soc

Cited by in corpus (2)

• Some torsion classes in the Chow ring and cohomology of $BPG{L}_n$
• Steenrod operations on the Chow ring of a classifying space