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On the Cohomology of the Classifying Spaces of Projective Unitary Groups and Applications

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posted on 2017-11-01, 00:00 authored by Xing Gu
In this paper we calculate the integral cohomology of the classifying spaces of projective unitary groups of arbitrary degrees, up to dimension 10. We apply this result to solve the topological period-index problem over connected finite CW-complexes of dimension 8.

History

Advisor

Shipley, BrookeAntieau, Benjamin

Chair

Shipley, Brooke

Department

MSCS

Degree Grantor

University of Illinois at Chicago

Degree Level

  • Doctoral

Committee Member

Bousfield, Aldridge Gillet, Henri Williams, Thomas Ben

Submitted date

August 2017

Issue date

2017-06-23

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    Keywords

    Brauer groups, period-index problems

    Licence

    In Copyright

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