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Transitivity for the modular group

Published online by Cambridge University Press:  24 October 2008

Mark Sheingorn
Mark Sheingorn
Affiliation:
Baruch College, CUNY, New York, NY 10010
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Extract

Let Γ be a Fuchsian group of the first kind acting on the upper half plane H+. Let be a Ford fundamental region for Γ in H+. Let ξ be a real number (a limit point) and let L( = Lξ) = {ξ + iy|0 ≤ y < 1}. L can be broken into successive intervals each one of which can be mapped by an element of Γ into . Since L is a hyperbolic line (h-line), this gives us a set of h-arcs in which we will call the image.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 88 , Issue 3 , November 1980 , pp. 409 - 423
Copyright
Copyright © Cambridge Philosophical Society 1980

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