標題: On Rademacher's conjecture: congruence subgroups of genus zero of the modular group
作者: Chua, KS
Lang, ML
Yang, YF
應用數學系
Department of Applied Mathematics
公開日期: 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
起始頁: 408
結束頁: 428
顯示於類別:期刊論文