start-ver=1.4 cd-journal=joma no-vol=131 cd-vols= no-issue=3 article-no= start-page=445 end-page=457 dt-received= dt-revised= dt-accepted= dt-pub-year=2001 dt-pub=200111 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Integral cohomology and chern classes of the special linear group over the ring of integers en-subtitle= kn-subtitle= en-abstract= kn-abstract=

This paper is devoted to the complete calculation of the additive structure of the 2-torsion of the integral cohomology of the innite 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.

en-copyright= kn-copyright= en-aut-name=ArlettazDominique en-aut-sei=Arlettaz en-aut-mei=Dominique kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=AusoniChristian en-aut-sei=Ausoni en-aut-mei=Christian kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=MimuraMamoru en-aut-sei=Mimura en-aut-mei=Mamoru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=YagitaNobuaki en-aut-sei=Yagita en-aut-mei=Nobuaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= affil-num=1 en-affil= kn-affil=Universite de Lausanne affil-num=2 en-affil= kn-affil=HG, ETH-Zentrum affil-num=3 en-affil= kn-affil=Okayama University affil-num=4 en-affil= kn-affil=Ibaraki University END