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Mar 4, 2013 at 18:56 vote accept expmat
Feb 28, 2013 at 18:28 comment added Misha 1. Yes, conformality is immediate since it is a local property: First check it away from the projections of fixed points and then, if you like, use Riemann extension theorem. 2. If a group is elementary then (with one exception) it will have centralized of real dimension 1 or 3. Every element of centralizer projects trivially to the quotient surface.
Feb 28, 2013 at 16:24 comment added expmat Also, is it clear that the map $[g]$ respects the complex structure of the Riemann surface $\Gamma \backslash \mathcal{H}$?
Feb 28, 2013 at 15:52 comment added expmat Where are you using the fact that $\Gamma$ is nonelementary in the proof that $N(\Gamma) / \Gamma \leq Aut(S)$ ?
Feb 27, 2013 at 23:45 history answered Misha CC BY-SA 3.0