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Two notes on Rankin's book on the modular group

Published online by Cambridge University Press:  09 April 2009

Roger Lyndon
Roger Lyndon
Affiliation:
Université de MontpellierMontpellier, France.
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We supply proofs that are simple, and possibly partly new, for two theorems that appear in Rankin's book [6].

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 16 , Issue 4 , December 1973 , pp. 454 - 457
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Coxeter, H. S. M. and Moser, W. O. J., Generators and Relations for Discrete Groups, 2nd ed., Ergebisse der Mathematik und ihrer Grenzegbiete, Band 14. (Springer-Verlag, Berlin, Göttingen, Heidleberg, New York, 1965).Google Scholar
[2]Howard, A.Hoare, M., Karrass, Abraham and Solitar, Donald, ‘Subgroups of finite index of Fuchsian groups’, Math. Z. 120 (1971), 289–298.Google Scholar
[3]Macbeath, A. M., Fuchsian Groups, (Lectures at Queen's College, Dundee, 1961.)Google Scholar
[4]Nilsen, Jakob, ‘The commutator group of the free product of cyclic groups’, (Danish), Mat. Tidskr. B 1948 (1948), 49–56.Google Scholar
[5]Nielsen, Jakob, ‘A basis for subgroups of free groups’, Math. Scand. 3 (1955), 31–43.CrossRefGoogle Scholar
[6]Rankin, R. A., The Modular Group and its Subgroups. (Ramanujan Institute, 1969),Google Scholar