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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Complex bordism of classifying spaces


Author: Peter S. Landweber
Journal: Proc. Amer. Math. Soc. 27 (1971), 175-179
MSC: Primary 55.30
DOI: https://doi.org/10.1090/S0002-9939-1971-0268885-1
MathSciNet review: 0268885
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Abstract: It is shown that, for a finite group $ G$, the Thom homomorphism maps the complex bordism $ \Omega _\ast ^U({B_G})$ onto the homology $ {H_\ast }({B_G};Z)$ of a classifying space for $ G$ if and only if $ G$ has periodic cohomology.


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DOI: https://doi.org/10.1090/S0002-9939-1971-0268885-1
Keywords: Complex bordism, classifying spaces, Thom homomorphism, periodic cohomology
Article copyright: © Copyright 1971 American Mathematical Society