Integral cohomology and chern classes of the special linear group over the ring of integers

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.

Digital Object Identifier:10.1017/S0305004101005382
Published with permission from the copyright holder. This is the institute's copy, as published in Mathematical Proceedings of the Cambridge Philosophical Society, Nov. 2001, Volume 131, Issue 3, Pages 445-457.
Publisher URL:http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=90379
Copyright © 2001 Cambridge Philosophical Society. All rights reserved.