Title: Transfers of Chern classes in BP-cohomology and Chow rings Authors: Bj"orn Schuster Nobuaki Yagita Date: 7 June 1999 Status: Transactions Amer. Math. Soc. 353, No. 3 (2001), 1039-1054. Abstract: We study the $BP^*$-module structure of $BP^*(BG)$ for extraspecial 2-groups G 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. We also show that for $G$ extraspecial of order $2^7$ and $2^9$, $BP^*(BG)$ is not generated by transfers of Chern classes.