The Möbius maps sending $\widehat C_{m,\alpha}$ into itself are $cz$, $c^{2m}=1$, and $c/z$, $c^{2m}=\bar\alpha^2$

Initializing...

The Möbius maps sending $\widehat C_{m,\alpha}$ into itself are $cz$, $c^{2m}=1$, and $c/z$, $c^{2m}=\bar\alpha^2$ · Prove2Me