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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Equivariant BP-cohomology for finite groups


Author: N. Yagita
Journal: Trans. Amer. Math. Soc. 317 (1990), 485-499
MSC: Primary 55N91; Secondary 55N22
DOI: https://doi.org/10.1090/S0002-9947-1990-1002925-3
MathSciNet review: 1002925
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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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DOI: https://doi.org/10.1090/S0002-9947-1990-1002925-3
Keywords: Classifying space $ BG$, cohomology of groups, $ \operatorname{BP} $-theory
Article copyright: © Copyright 1990 American Mathematical Society