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Classification of torsion-free genus zero congruence groups
Author(s):
Abdellah
Sebbar
Journal:
Proc. Amer. Math. Soc.
129
(2001),
2517-2527.
MSC (2000):
Primary 20H05
Posted:
April 17, 2001
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Abstract:
We study and classify all torsion-free genus zero congruence subgroups of the modular group.
References:
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Larcher, H. The cusp amplitudes of the
congruence subgroups of the classical modular
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McKay, J., Sebbar, A. Fuchsian groups, Schwarzians,
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C. R. Acad. Sci. Paris, t.327, Serie I, pp.343-348,
1998. MR
2000a:11059
- 3.
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McKay, J., Sebbar, Fuchsian groups, automorphic
functions and Schwarzians,
Math. Ann. 318 (2000), 255-275. CMP 2001:04
- 4.
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Rankin, Robert A. Modular forms and functions.
Cambridge University Press, 1977. MR
58:16518
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Sebbar A. Conjugacy classes of torsion-free genus
zero
congruence subgroups of
,
To appear in Duke Math. J.
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Princeton, 1971. MR
47:3318
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Additional Information:
Abdellah
Sebbar
Affiliation:
Department of Mathematics and Statistics, University of Ottawa, Ottawa, Ontario, Canada K1N 6N5
Email:
sebbar@mathstat.uottawa.ca
DOI:
10.1090/S0002-9939-01-06176-7
PII:
S 0002-9939(01)06176-7
Keywords:
Automorphic forms,
congruence subgroups,
genus 0,
torsion-free
Received by editor(s):
November 20, 1999
Posted:
April 17, 2001
Communicated by:
Dennis A. Hejhal
Copyright of article:
Copyright
2001,
American Mathematical Society
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