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Subgroups of One-Relator Fuchsian Groups

Published online by Cambridge University Press:  20 November 2018

L. A. Best
L. A. Best*
Affiliation:
University of Birmingham, Birmingham, England
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Extract

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Let Γ be the Fuchsian group with canonical presentation:

Generators:

Relations:

where . The genus g, the period partition {m1, m2, … , mr} and the number s are invariants of Γ. The symbol (g|m1, m2, … , mr|s) is called the signature of Γ and it determines Γ up to isomorphism.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 4 , August 1973 , pp. 888 - 891
Copyright
Copyright © Canadian Mathematical Society 1973

References

1. Singerman, D., Subgroups of Fuchsian groups and finite permutation groups, Bull. London Math. Soc. 2 (1970), 319–323.Google Scholar