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Results tagged with fuchsian-groups
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user 3384
In mathematics, a Fuchsian group is a discrete subgroup of PSL(2,R)
1
vote
Fuchsian groups and automorphisms of Riemann surfaces
How about $\Gamma = PSL_2(\mathbf{Z})$, where $N(\Gamma)/\Gamma)$ is the trivial group but the automorphism group of $\Gamma \setminus \mathcal{H}^*$ is infinite?
In general the best you can do is th …
- 3,625
5
votes
How do you find the genus of a Fuchsian group derived from a quaternion algebra?
You are essentially asking for a fundamental domain for your Fuchsian group $G$. This is an area of specialty for John Voight, who has produced an algorithm for finding such a fundamental domain and t …
- 3,625