The Teichmüller distance between finite index subgroups of $PS{L}_2(\mathbb{Z})$

Vladimir Markovic, Dragomir Saric

For a given $\epsilon >0$, we show that there exist two finite index subgroups of $PS{L}_2(\mathbb{Z})$ which are $(1+\epsilon )$-quasisymmetrically conjugated and the conjugation homeomorphism is n…