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|Title:||On Rademacher's conjecture: Congruence subgroups of genus zero of the modular group|
|Citation:||Chua, K.S., Lang, M.L., Yang, Y. (2004-07-01). On Rademacher's conjecture: Congruence subgroups of genus zero of the modular group. Journal of Algebra 277 (1) : 408-428. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jalgebra.2004.02.025|
|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.|
|Source Title:||Journal of Algebra|
|Appears in Collections:||Staff Publications|
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