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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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Keywords: Classifying space <IMG WIDTH="38" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" SRC="images/img1.gif" ALT="$BG$">, cohomology of groups, <!– MATH $\operatorname {BP}$ –> <IMG WIDTH="34" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" SRC="images/img2.gif" ALT="$\operatorname {BP}$">-theory
Article copyright: © Copyright 1990 American Mathematical Society