Chow rings and cobordism of some Chevalley groups

Mathematics – Algebraic Topology

Scientific paper

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

Scientific paper

10.1017/S0305004103007369

We compute the cobordism ring $MU^*(BG)\otimes \mathbb{F}_p$ 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).

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