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Macbeath's curve and the modular group

Published online by Cambridge University Press:  18 May 2009

K. Wohlfahrt
Affiliation:
Im Eichwald 2, D-6900 Heidelberg 1
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The theory of algebraic curves associated with subgroups of finite index in the modular group Γ is highly developed for such subgroups of Γ as may be defined by means of congruences in the ring ℤ of rational integers. The situation in he case of non-congruence subgroups of Γ, on the other hand, is drastically different. It reduces to a few isolated examples, two of which may be found in [12]. Related research by A. O. L. Atkin and H. P. F. Swinnerton-Dyer began in [1].

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Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1985