Torsion-free genus zero congruence subgroups of PSL2(ℝ)

Abdellah Sebbar

doi:10.1215/S0012-7094-01-11028-4

Abstract

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.

Citation

Download Citation

Abdellah Sebbar. "Torsion-free genus zero congruence subgroups of PSL₂(ℝ)." Duke Math. J. 110 (2) 377 - 396, 1 November 2001. https://doi.org/10.1215/S0012-7094-01-11028-4

Information

Published: 1 November 2001

First available in Project Euclid: 18 June 2004

zbMATH: 1012.11031

MathSciNet: MR1865246

Digital Object Identifier: 10.1215/S0012-7094-01-11028-4

Subjects:

Primary: 11F06

Secondary: 11F03 , 20H05

Abstract

Citation

Information

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS