On prime Galois coverings of the Riemann sphere
type: Item
instance of: scholarly article
title: On prime Galois coverings of the Riemann sphere
zbMATH Open document ID: 0846.30029
DOI: 10.1007/BF01759251
author: G. González-Diez
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1996-09-25T00:00:00Z
review text: The author considers cyclic groups of prime order \(p\) acting as group of conformal automorphisms on a closed Riemann surface, so that the quotient has genus zero. If \(p= 2\) it is well-known that such a group is unique (generated by the hyperelliptic involution). If \(p\geq 3\), the uniqueness is not longer true. The author shows that the group is unique up to conjugation by conformal automorphism of the Riemann surface. A typical example is the Klein surface of genus three admitting a group of conformal automorphisms of order 168. In this Riemann surface there are different cyclic subgroups of order 7. The author investigates some consequences of the above result at the level of Teichmüller and moduli spaces.
Mathematics Subject Classification ID: 30F99
Mathematics Subject Classification ID: 32G15
Mathematics Subject Classification ID: 14H05
Mathematics Subject Classification ID: 14H30
zbMATH DE Number: 878439
reviewed by: Rubén A. Hidalgo
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 878439