Let $T$ a Mobius transformation with fixed points $\alpha, \beta \in \mathbb{C}$
Show that exist a Mobius transfotmation $S$ such as $STS^{-1}$ fix $0, \infty$, that is unique?
Let $T$ a Mobius transformation with fixed points $\alpha, \beta \in \mathbb{C}$
Show that exist a Mobius transfotmation $S$ such as $STS^{-1}$ fix $0, \infty$, that is unique?
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