Examples for the mod p motivic cohomology of classifying spaces, by N. Yagita

Let BG be the classifying space of an algebraic group G over the complex number field C. In this paper, we study the relation between the ordinary mod p cohomology H*(BG;Z/p), the Brown-Peterson cohomology BP*(BG) and the mod p motivic cohomology H*,*(BG;Z/p) over the field C. By using Milnor primitive operation Qi, the explicit computations are given for cases G=SO(3), G2, Spin(7), PGL3 and extraspecial p-groups.


N. Yagita <yagita@mito.ipc.ibaraki.ac.jp>