Geodesic
Riemann Surfaces Over Regular Maps
Canadian journal of mathematics, Tome 30 (1978) no. 4, pp. 763-782

Voir la notice de l'article provenant de la source Cambridge University Press

The idea of one surface covering another is a useful one in the study of regular maps. Coxeter and Moser discuss a particular instance [3, p. 115] and the maps produced by Sherk [6] and Garbe [4] are formed by such coverings, though neither paper mentions that fact. In [5], Sherk explicitly constructs coverings of regular maps on the sphere. 
Wilson, Stephen E. Riemann Surfaces Over Regular Maps. Canadian journal of mathematics, Tome 30 (1978) no. 4, pp. 763-782. doi: 10.4153/CJM-1978-066-5
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[1] 1. Brahana, H. R., Regular maps and their groups, Amer. J. Math. 49 (1927), 268–284. Google Scholar

[2] 2. Coxeter, H. S. M., Regular complex polytopes (Cambridge University Press, London, 1974). Google Scholar

[3] 3. Coxeter, H. S. M. and Moser, W. O. J., Generators and relations for discrete groups (Springer- Verlag, Berlin-New York, 1972). Google Scholar

[4] 4. Garbe, D., A generalization of the regular maps of type (4,4)6,c and ﹛3,6﹜fo,c, Can. Math. Bull. 12 (1969), 293–298. Google Scholar

[5] 5. Sherk, F. A., The regular maps on a surface of genus three, Can. J. Math. 11 (1959), 452–480. Google Scholar

[6] 6. Sherk, F. A., A family of regular maps of type ﹛6,6﹜, Can. Math. Bull. (1962), 13–20. Google Scholar

[7] 7. Wilson, S. E., New techniques for the construction of regular maps, Doctoral Dissertation, Univ. of Washington, Seattle, 1976. Google Scholar

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