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arXiv · 1302.3079

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

Jonathan Pfaff
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Abstract

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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Jonathan Pfaff. 2013-02-13. Exponential growth of homological torsion for towers of congruence subgroups of Bianchi groups. https://arxiv.org/abs/1302.3079

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