Realizing Countable Groups As Automorphism Groups
of Riemann Surfaces
Jörg Winkelmann
Abstract.
We show that every countable discrete group can be realized as the
full automorphism group of a (non-compact) Riemann surface.
Appeared in:
documenta math. 6, 413-417 (2001)
To the article (documenta math. is an electronic journal).
Notes:
Later, we obtained a
similar result for connected real Lie groups
(by quite different methods).
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