Equivariant BP-cohomology for finite groups

Yagita, N.

doi:10.1090/S0002-9947-1990-1002925-3

Equivariant BP-cohomology for finite groups
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Trans. Amer. Math. Soc. 317 (1990), 485-499 Request permission

Abstract:

The Brown-Peterson cohomology rings of classifying spaces of finite groups are studied, considering relations to the other generalized cohomology theories. In particular, ${\operatorname {BP} ^{\ast }}(M)$ are computed for minimal nonabelian $p$-groups $M$. As an application, we give a necessary condition for the existence of nonabelian $p$-subgroups of compact Lie groups.

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