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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