Complex bordism of classifying spaces

Landweber, Peter S.

doi:10.1090/S0002-9939-1971-0268885-1

Complex bordism of classifying spaces
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by Peter S. Landweber

Proc. Amer. Math. Soc. 27 (1971), 175-179

DOI: https://doi.org/10.1090/S0002-9939-1971-0268885-1

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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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