On the minimal distance between elliptic fixed points for geometrically finite Fuchsian groups

Joshua S. Friedman
2016 International Journal of Number Theory  
Let Γ be a geometrically-finite Fuchsian group acting on the upper half plane . Let denote the set of elliptic fixed points of Γ in . We give a lower bound on the minimal hyperbolic distance between points in . Our bound depends on a universal constant and the length of the smallest closed geodesic on Γ.
doi:10.1142/s1793042116501013 fatcat:67lptorfezelneyltmavfmiswy