Why do we stop at Fuchsian groups (I.e. discrete subgroups of automorphisms of the hyperbolic plane) when we study things like quotients and what not?
Is there a maximalist or universality property behind that distinction?
Why do we stop at Fuchsian groups (I.e. discrete subgroups of automorphisms of the hyperbolic plane) when we study things like quotients and what not?
Is there a maximalist or universality property behind that distinction?
Who stops? Not me. We continue on to:
and on and on from there...