Bull. Korean Math. Soc. 2011; 48(4): 847-851
Printed July 1, 2011
https://doi.org/10.4134/BKMS.2011.48.4.847
Copyright © The Korean Mathematical Society.
Rub\'en A. Hidalgo
Universidad T\'ecnica Federico Santa Mar\'{\i}a
In this paper we provide examples of pairs of conformally non-equivalent, but topologically equivalent, $p$-groups $H_{1}, H_{2}<{\rm Aut}(S)$, where $S$ is a closed Riemann surface of genus $g \geq 2$, so that $S/H_{j}$ has genus zero and all its cone points are of order equal to $p$.
Keywords: Riemann surfaces, automorphisms
MSC numbers: 30F10, 30F60, 14H37
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