On Rademacher's conjecture: Congruence subgroups of genus zero of the modular group
Journal
Journal of Algebra
Journal Volume
277
Journal Issue
1
Pages
408-428
Date Issued
2004
Author(s)
Abstract
We list all genus zero congruence subgroups of PSL2(ℤ). There are altogether 132 of them (up to conjugation in PSL2(Zdbl;)). Geometrical invariants (genus, v2, v3, number of cusps, index in PSL2(ℤ)), fundamental polygons, Farey symbol, and independent generators of all such groups are determined. Generators of the function fields associated to such groups are also determined (http://www.math.nus.edu.sg/~matlml/). © 2004 Elsevier Inc. All rights reserved.
Type
journal article