Geodesic
A family of conformally asymmetric Riemann surfaces
Glasgow mathematical journal, Tome 39 (1997) no. 2, pp. 221-225

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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. 
Everitt, Brent. A family of conformally asymmetric Riemann surfaces. Glasgow mathematical journal, Tome 39 (1997) no. 2, pp. 221-225. doi: 10.1017/S0017089500032109
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