Representation theory and the cycle map of a classifying space

Abstract

We compute the Chern subgroup of the 4-th integral cohomology group of a certain classifying space and show that it is a proper subgroup. Such a classifying space gives us new counterexamples for the integral Hodge and Tate conjectures modulo torsion.

8 pages, to appear in Algebraic Geometry

References in corpus (1)

• On the integral Tate conjecture for finite fields

Cited by in corpus (3)

• On the Cohomology of the Classifying Spaces of Projective Unitary Groups
• Some torsion classes in the Chow ring and cohomology of $BPG{L}_n$
• Milnor operations and classifying spaces