Transfers of Chern classes in BP-cohomology and Chow rings

Björn Schuster, Nobuaki Yagita
2000 Transactions of the American Mathematical Society  
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.
doi:10.1090/s0002-9947-00-02647-7 fatcat:c6qnmntl2jfbrjji7wkgbugzyq