Integral cohomology and Chern classes of the special linear group over the ring of integers
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Published:2001-11
Issue:3
Volume:131
Page:445-457
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ISSN:0305-0041
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Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
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language:en
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Short-container-title:Math. Proc. Camb. Phil. Soc.
Author:
ARLETTAZ DOMINIQUE,AUSONI CHRISTIAN,MIMURA MAMORU,YAGITA NOBUAKI
Abstract
This paper is devoted to the complete calculation of the additive structure of the
2-torsion of the integral cohomology of the infinite special linear group SL(ℤ) over
the ring of integers ℤ. This enables us to determine the best upper bound for the
order of the Chern classes of all integral and rational representations of discrete
groups.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics