paper

On the growth of torsion in the cohomology of arithmetic groups

arXiv:1302.0742

Abstract

In this paper we consider certain families of arithmetic subgroups of SO^0(p,q) and SL_3(R), respectively. We study the cohomology of such arithmetic groups with coefficients in arithmetically defined modules. We show that for natural sequences of such modules the torsion in the cohomology grows exponentially.

17 pages

On the growth of torsion in the cohomology of arithmetic groups · wovepaper