The asymptotic growth of torsion homology for arithmetic groups

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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 the case, and conjecture precise conditions. © 2012 Cambridge University Press.

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Bergeron, N., & Venkatesh, A. (2013). The asymptotic growth of torsion homology for arithmetic groups. Journal of the Institute of Mathematics of Jussieu, 12(2), 391–447. https://doi.org/10.1017/S1474748012000667

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