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The asymptotic growth of torsion homology for arithmetic groups

Published online by Cambridge University Press:  07 June 2012

Nicolas Bergeron  and
Akshay Venkatesh
Nicolas Bergeron
Affiliation:
Institut de Mathématiques de Jussieu, Unité Mixte de Recherche 7586 du CNRS, Université Pierre et Marie Curie, 4, place Jussieu 75252 Paris Cedex 05, France (bergeron@math.jussieu.fr) URL: http://people.math.jussieu.fr/~bergeron
Akshay Venkatesh
Affiliation:
Department of Mathematics, Stanford University, Stanford, CA 94304, USA (akshay@math.stanford.edu)
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Abstract

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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 the case, and conjecture precise conditions.

Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 12 , Issue 2 , April 2013 , pp. 391 - 447
Copyright
©Cambridge University Press 2012

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