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Subgroups of infinite index in the modular group

Published online by Cambridge University Press:  18 May 2009

W. W. Stothers
Affiliation:
University of Glasgow, Glasgow G12 8QW
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The modular group Г is the group of integral bilinear transformations of the extended complex plane which preserve the upper half-plane. It has the presentation 〈x, y:x2 = y3 = 1〉, and the generators can be chosen so that u = xy maps z to z + 1.

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Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1978