A family of conformally asymmetric Riemann surfaces-Reference-Cited by-同舟云学术

A family of conformally asymmetric Riemann surfaces

Published:1997-05 Issue:2 Volume:39 Page:221-225
ISSN:0017-0895
Container-title:Glasgow Mathematical Journal
language:en
Short-container-title:Glasgow Math. J.

Author:

Everitt Brent

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference6 articles.

1. Arithmetic triangle groups

2. Commensurability classes and volumes of hyperbolic 3-manifolds;Borel;Ann. Sc. Norm. Sup. Pisa,1981

3. Automorphisms of Maps, Permutation Groups and Riemann Surfaces

4. Subgroups of Fuchsian Groups and Finite Permutation Groups

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