New posts in Mobius Transformation

Finding infinitesimal Mobius transformations

Image of shape under Möbius transformation

What is the radius and center of the image of $|z|=1$ under $ f(z) = \frac{3z+2}{4z+3}$?

$\text{SL}_2(\mathbb Z)$ acts on upper plane $\mathbb H$. What kind of points have non-trivial stabilizer? And how many orbits are there?

Number of disjoint circles in half plane minus a disk that touch both boundary components

How can it be shown that a Möbius transformation can have at most two fixed points unless it is f(z) = z?

Are there Möbius transformations of arbitrary group-theoretic order?

Why möbius transformation is isomorphic to projective linear group?