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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Fuchsian groups and algebraic number fields


Authors: P. L. Waterman and C. Maclachlan
Journal: Trans. Amer. Math. Soc. 287 (1985), 353-364
MSC: Primary 20H10; Secondary 11F06, 32G15
MathSciNet review: 766224
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Abstract: Given the signature of a finitely-generated Fuchsian group, we find the minimal extension of the rationals for which there is a Fuchsian group having the required signature, whose matrix entries lie in this field.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1985-0766224-5
PII: S 0002-9947(1985)0766224-5
Article copyright: © Copyright 1985 American Mathematical Society