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arxiv: 1302.3079 · v1 · pith:NCU2DF3Qnew · submitted 2013-02-13 · 🧮 math.NT · math.DG· math.GT

Exponential growth of homological torsion for towers of congruence subgroups of Bianchi groups

classification 🧮 math.NT math.DGmath.GT
keywords congruencebianchigroupssequencesstandardsubgroupstorsionbergeron
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In this paper we prove that for suitable sequences of congruence subgroups of Bianchi groups, including the standard exhaustive sequences of a congruence subgroup, and even symmetric powers of the standard representation of Sl_2(C) the size of the torsion part in the first homology grows exponentially. This extends results of Bergeron and Venkatesh to a case of non-uniform lattices.

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