Mathematics – Group Theory
Scientific paper
2011-05-07
Math. Proc. Cambridge Philos. Soc. 141 (2006), no. 2, 205--207
Mathematics
Group Theory
Scientific paper
10.1017/S0305004106009261
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 $|d|\to\infty$.
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