Transfers of Chern classes in BP-cohomology and Chow rings

Schuster, Björn; Yagita, Nobuaki

doi:10.1090/S0002-9947-00-02647-7

Transfers of Chern classes in BP-cohomology and Chow rings
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by Björn Schuster and Nobuaki Yagita

Trans. Amer. Math. Soc. 353 (2001), 1039-1054

DOI: https://doi.org/10.1090/S0002-9947-00-02647-7

Published electronically: August 8, 2000

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Abstract:

The $BP^*$-module structure of $BP^*(BG)$ for extraspecial $2$-groups is studied using transfer and Chern classes. These give rise to $p$-torsion elements in the kernel of the cycle map from the Chow ring to ordinary cohomology first obtained by Totaro.

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