Representation theory and the cycle map of a classifying space

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3 Citations (Scopus)


We compute the Chern subgroup of the fourth 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.

Original languageEnglish
Pages (from-to)221-228
Number of pages8
JournalAlgebraic Geometry
Issue number2
Publication statusPublished - 2017 Mar 1


  • Chern class
  • Chow ring
  • Classifying space
  • Cycle map

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology


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