Let U ⊂ C be open. Show that the conformal automorphisms of U form a group...

Let U ⊂ C be open. Show that the conformal automorphisms of U form a group when the operation is taken to be composition.

Expert Solution

The proof for the final part is given below

https://math.stackexchange.com/questions/1048204/the-inverse-of-a-bijective-holomorphic-function-is-also-holomorphic

Colby Messinger answered 2 years ago

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Let U ⊂ C be open. Show that the conformal automorphisms of U form a group...

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Expert Solution

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