(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

H is the upper-half plane model of the hyperbolic space

Find all Mobius transformations that send M to N.

2. Relevant equations

a) M = {0, 1, ∞}, N = {∞, 0, 1}

b) M = {0, 1, ∞}, N = {0, ∞, 2}

c) M = {i, -i, 3i}, N = {∞,i+ 1, 6}

3. The attempt at a solution

Using the transformation:

Could I develop two equations m(z) and n(z) that map M and N to {0, 1, ∞}, respectively? Then just find n^{-1}[itex]\circ[/itex]m? Wouldn't that result in M→N?

If that's true, I'm just confused as to what points to use for z_{1}, z_{2}, z_{3}.

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# Homework Help: Find Mobius Transformations (M→N)

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