Fuchsian groups and algebraic number fields

Waterman, P. L.; Maclachlan, C.

doi:10.1090/S0002-9947-1985-0766224-5

Fuchsian groups and algebraic number fields
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by P. L. Waterman and C. Maclachlan PDF

Trans. Amer. Math. Soc. 287 (1985), 353-364 Request permission

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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