4.5 Article

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

Journal

DUKE MATHEMATICAL JOURNAL
Volume 110, Issue 2, Pages 377-396

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DUKE UNIV PRESS
DOI: 10.1215/S0012-7094-01-11028-4

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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.

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