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A family of conformally asymmetric Riemann surfaces

Published online by Cambridge University Press:  18 May 2009

Brent Everitt
Brent Everitt
Affiliation:
Department of Mathematical Sciences, University of Aberdeen, Aberdeen AB9 2TY, United Kingdom
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Abstract

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We give explicit examples of asymmetric Riemann surfaces (that is, Riemann surfaces with trivial conformal automorphism group) for all genera g ≥ 3. The technique uses Schreier coset diagrams to construct torsion-free subgroups in groups of signature (0; 2,3,r) for certain values of r.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 39 , Issue 2 , May 1997 , pp. 221 - 225
Copyright
Copyright © Glasgow Mathematical Journal Trust 1997

References

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