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arxiv: 1004.1083 · v1 · submitted 2010-04-07 · 🧮 math.NT · math.GT

The asymptotic growth of torsion homology for arithmetic groups

classification 🧮 math.NT math.GT
keywords arithmetichomologytorsionamountasymptoticconditionsconjecturecovolume
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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 so, and conjecture precise conditions.

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