- #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

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- 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

Share: