On triangular (D_{n})-actions on cyclic p-gonal Riemann surfaces
نویسندگان
چکیده
منابع مشابه
On automorphisms groups of cyclic p-gonal Riemann surfaces
In this work we obtain the group of conformal and anticonformal automorphisms of real cyclic p-gonal Riemann surfaces, where p ≥ 3 is a prime integer and the genus of the surfaces is at least (p − 1) + 1. We use Fuchsian and NEC groups, and cohomology of finite groups.
متن کاملSYMMETRIES OF REAL CYCLIC p-GONAL RIEMANN SURFACES
A closed Riemann surface X which can be realised as a p-sheeted covering of the Riemann sphere is called p-gonal, and such a covering is called a p-gonal morphism. A p-gonal Riemann surface is called real p-gonal if there is an anticonformal involution (symmetry) σ of X commuting with the p-gonal morphism. If the p-gonal morphism is a cyclic regular covering the Riemann surface is called real c...
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A compact Riemann surface X of genus g > 1 is said to be phyperelliptic if X admits a conformal involution ρ, called a p-hyperelliptic involution, for which X/ρ is an orbifold of genus p. Here we give a new proof of the well known fact that for g > 4p + 1, ρ is unique and central in the group of all automorphisms of X. Moreover we prove that every two p-hyperelliptic involutions commute for 3p ...
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A compact Riemann surface X of genus g > 1 is said to be p-hyperelliptic if X admits a conformal involution ρ for which X/ρ is an orbifold of genus p. Here we classify conformal actions on 2-hyperelliptic Rieman surfaces of genus g > 9, up to topological conjugacy and determine which of them can be maximal.
متن کاملOn Cyclic Groups of Automorphisms of Riemann Surfaces
The question of extendability of the action of a cyclic group of automorphisms of a compact Riemann surface is considered. Particular attention is paid to those cases corresponding to Singerman's list of Fuchsian groups which are not nitely-maximal, and more generally to cases involving a Fuchsian triangle group. The results provide partial answers to the question of which cyclic groups are the...
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ژورنال
عنوان ژورنال: Opuscula Mathematica
سال: 2016
ISSN: 1232-9274
DOI: 10.7494/opmath.2016.36.1.103