On the growth of torsion in the cohomology of arithmetic groups

2013/02/04 by Werner Mueller, Mueller, Werner, Jonathan Pfaff +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Finite Group Theory Research #math.NT #msc:11F75

paper · pdf · doi:10.48550/arxiv.1302.0742

17 pages

arxiv created 2013/02/04 · arxiv updated 2013/02/05

Abstract

In this paper we consider certain families of arithmetic subgroups of SO⁰(p,q) and SL₃(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.

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