- #1

- 44

- 0

I mean C\{pi,p2,p3..pn}

Plane with n points taken away.

I wanted to generailze the result for the conformal self maps of the punctured plane, but I do feel these are quite different animals.

I thank you for any help/suggestions

- Thread starter esisk
- Start date

- #1

- 44

- 0

I mean C\{pi,p2,p3..pn}

Plane with n points taken away.

I wanted to generailze the result for the conformal self maps of the punctured plane, but I do feel these are quite different animals.

I thank you for any help/suggestions

- #2

- 607

- 0

The singularities (and infinity) are removable. So you need to map the sphere to itself (az+b)/(cz+d) in such a way that you permute the points [itex]\{p_1,\dots,p_n,\infty\}[/itex].

Last edited:

- #3

- 44

- 0

I think I see it now. So I suspect we get the full symmetric group on n letters then, as the automorphism group. Thank you again

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