References
Arbarello, E., Cornalba, M., Griffiths, P.A., Harris, J., Geometry of Algebraic Curves, vol. 1,Grundlehren der mathematischen Wissenschaften 267. Springer Verlag (1984), Berlin, Heidelberg, New York
Belyî, G.V., On Galois extensions of a maximal cyclotomic field,Math. USSR Izvestiya 14, (1980), pp. 247–256
Birch, B., Noncongruence subgroups, Covers and Drawings,London Math. Soc. Lecture Note Ser. 200, (1994), pp. 25–46
Chevalley, C., Weil, A., Über das Verhalten der Integrale 1. Gattung bei Automorphismen des Funktionenkörpers,Abhandlungen aus dem mathematischen Seminar der Universität Hamburg, vol. 10 (1934), pp. 358–361
Corn, D., Singerman, D., Regular hypermaps,European J. Combinatorics 9, (1988), pp. 337–351
Couveignes, J.-M., Calcul et rationalité de fonctions de Belyi en genre 0,Annales de l'Institut Fourier 44, (1994), pp. 1–38
Couveignes, J.-M., Granboulan, L., Geometric Dessins,London Math. Soc. Lecture Note Ser. 200, (1994), pp. 79–113
Forster, O., Lectures on Riemann Surfaces,Graduated Texts in Mathematics, vol. 81, Springer Verlag, Berlin, Heidelberg, New York
GAP, Groups, Algorithms and Programming, Lehrstuhl für Mathematik RWTH Aachen
Gromadzki, G., Groups of Automorphisms of Compact Riemann Surfaces,Wydawnictwo Uczelniane Wyzsej Szkoly Pedagogicznej, Bydgoszczy (1993)
Jones, G., Singerman, D., Belyî Functions, Hypermaps and Galois GroupsBulletin of the London Math. Soc., to appear
Jones, G., Singerman, D., Maps, Hypermaps and Triangle Groups,London Math. Soc. Lecture Note Ser. 200, (1994), pp. 115–145.
Macbeath, A.M., On a curve of genus 7,Proc. London Math. Soc. (3), vol. 15 (1965), pp. 527–542
Malle, G., Fields of definition of some three point ramfied field extensionsLondon Math. Soc. Lecture Note Ser. 200, (1994), pp. 147–168
Matzat, B.H., Konstruktive Galoistheorie,Lecture Notes in Mathematics 1284 Springer Verlag, Berlin, (1987)
Rauch, H., Lewittes, J., The Riemann Surface of Klein with 168 Automorphisms,Problems in Analysis, Princeton University Press, (1972), pp. 297–308
Singerman, D., Finitely Maximal Fuchsian Groups,Jour. of the London Math. Society (2), vol. 6 (1972), pp. 29–38
Wolfart, J., Mirror-invariant triangulations of Riemann surfaces, triangle groups and Grothendieck dessins: variations on a theme of Belyî,preprint, (1992), Frankfurt
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sponsored by Human Capital and Mobility Grant on computational conformal geometry from the EU. This work is part of the author's PhD project
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Streit, M. Homology, Belyî functions and canonical curves. Manuscripta Math 90, 489–509 (1996). https://doi.org/10.1007/BF02568321
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DOI: https://doi.org/10.1007/BF02568321