Generators $r,s$ of the Möbius symmetry group of $\widehat{C}_{m,\alpha}$ with $r^{2m}=s^2=1$ and $srs=r^{-1}$

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Generators $r,s$ of the Möbius symmetry group of $\widehat{C}_{m,\alpha}$ with $r^{2m}=s^2=1$ and $srs=r^{-1}$ · Prove2Me