Remote Access Transactions of the American Mathematical Society
Green Open Access

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
MathSciNet review: 1002925
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 55N91, 55N22

Retrieve articles in all journals with MSC: 55N91, 55N22

Additional Information

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