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The asymptotic growth of torsion homology for arithmetic groups

2012; Cambridge University Press; Volume: 12; Issue: 02 Linguagem: Inglês

10.1017/s1474748012000667

1475-3030

Nicolas Bergeron, Akshay Venkatesh,

Homotopy and Cohomology in Algebraic Topology

HTML view is not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button. 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.