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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Normal subgroups of Fuchsian groups with fixed parabolic class number


Author: Marc Berger
Journal: Proc. Amer. Math. Soc. 38 (1973), 32-36
MSC: Primary 30A58
MathSciNet review: 0322163
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Abstract: Let $ F$ be a finitely generated Fuchsian group of the first kind. We provided necessary and sufficient conditions such that, for any $ t \geqq 1,F$ has only a finite number of normal subgroups with $ t$ parabolic classes.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1973-0322163-2
PII: S 0002-9939(1973)0322163-2
Keywords: Discontinuous group, Riemann surface, parabolic class
Article copyright: © Copyright 1973 American Mathematical Society