Every finitely generated group is the automorphism group of a Riemann surface (compact for finite groups), proved via maximal non-arithmetic triangle groups and Margulis' commensurability theorem.
Greenberg, Conformal transformations of Riemann sur faces, Amer
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.GR 1years
2019 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
A short proof of Greenberg's Theorem
Every finitely generated group is the automorphism group of a Riemann surface (compact for finite groups), proved via maximal non-arithmetic triangle groups and Margulis' commensurability theorem.