Torsion-free genus zero congruence subgroups of PSL2(ℝ)
Sebbar, Abdellah
Duke Math. J., Tome 110 (2001) no. 1, p. 377-396 / Harvested from Project Euclid
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We study and classify all the conjugacy classes of the genus zero congruence subgroups of PSL2(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.
Publié le : 2001-11-01
Classification:  11F06,  11F03,  20H05 
@article{1087574862,
     author = {Sebbar, Abdellah},
     title = {Torsion-free genus zero congruence subgroups of PSL<sub>2</sub>($\mathbb{R}$)},
     journal = {Duke Math. J.},
     volume = {110},
     number = {1},
     year = {2001},
     pages = { 377-396},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1087574862}
}

Sebbar, Abdellah. Torsion-free genus zero congruence subgroups of PSL2(ℝ). Duke Math. J., Tome 110 (2001) no. 1, pp.  377-396. http://gdmltest.u-ga.fr/item/1087574862/