The asymptotic growth of torsion homology for arithmetic groups

2010/04/07 by Nicolas Bergeron, Bergeron, Nicolas, Akshay Venkatesh +1 · 8 citations
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Number Theory (math.NT) #math.GT #math.NT

paper · pdf · doi:10.48550/arxiv.1004.1083

49 pages, submitted

arxiv created 2010/04/07 · arxiv updated 2010/04/08

Abstract

When does the amount of torsion in the homology of an arithmetic group grow exponentially with the covolume? We give many examples where this is so, and conjecture precise conditions.

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