Torsion-free genus zero congruence subgroups of PSL 2 (?)

Abdellah Sebbar
2001 Duke mathematical journal  
We study and classify all the conjugacy classes of the genus zero congruence subgroups of PSL 2 (R) with no elliptic elements. We show that it suffices to classify those inside the modular group and determine them completely. We also discuss an application to modular curves.
doi:10.1215/s0012-7094-01-11028-4 fatcat:bvxtvdc2kjd25fukgaf64uul2e