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Riemann Surfaces Over Regular Maps

Published online by Cambridge University Press:  20 November 2018

Stephen E. Wilson
Stephen E. Wilson*
Affiliation:
Michigan State University East Lansing, Michigan
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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.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 4 , 01 August 1978 , pp. 763 - 782
Copyright
Copyright © Canadian Mathematical Society 1978

References

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