标题: | On Rademacher's conjecture: congruence subgroups of genus zero of the modular group |
作者: | Chua, KS Lang, ML Yang, YF 应用数学系 Department of Applied Mathematics |
公开日期: | 1-七月-2004 |
摘要: | We list all genus zero congruence subgroups of PSL2(Z). There are altogether 132 of them (up to conjugation in PSL2(Z)). Geometrical invariants (genus, upsilon(2), upsilon(3), 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/-matlm1/). (C) 2004 Elsevier Inc. All rights reserved. |
URI: | http://dx.doi.org/10.1016/j.jalgebra.2004.02.025 http://hdl.handle.net/11536/26611 |
ISSN: | 0021-8693 |
DOI: | 10.1016/j.jalgebra.2004.02.025 |
期刊: | JOURNAL OF ALGEBRA |
Volume: | 277 |
Issue: | 1 |
起始页: | 408 |
结束页: | 428 |
显示于类别: | Articles |