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## Sifted character sums and free quotients of Bianchi groups

### Abstract

We show that the Bianchi group $\mathrm{PSL}_2(\mathcal{O}_d)$, where $\mathcal{O}_d$ is the ring of integers in $\Q(\sqrt{d})$, $d<0$, has a free quotient of rank $\geq |d|^{1/4-\epsilon}$, as $|d|\to\infty$

Topics: Mathematics - Group Theory, 20G30
Year: 2011
DOI identifier: 10.1017/S0305004106009261
OAI identifier: oai:arXiv.org:1105.1453
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