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April, 2009 Automorphism groups of q-trigonal planar Klein surfaces and maximal surfaces
J. Math. Soc. Japan 61(2): 607-623 (April, 2009). DOI: 10.2969/jmsj/06120607


A compact Klein surface X=D/Γ , where D denotes the hyperbolic plane and Γ is a surface NEC group, is said to be q-trigonal if it admits an automorphism ϕ of order 3 such that the quotient X/<ϕ > has algebraic genus q. In this paper we obtain for each q the automorphism groups of q-trigonal planar Klein surfaces, that is surfaces of topological genus 0 with k 3 boundary components. We also study the surfaces in this family, which have an automorphism group of maximal order (maximal surfaces). It will be done from an algebraic and geometrical point of view.


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Beatriz ESTRADA. Ernesto MARTÍNEZ. "Automorphism groups of q-trigonal planar Klein surfaces and maximal surfaces." J. Math. Soc. Japan 61 (2) 607 - 623, April, 2009.


Published: April, 2009
First available in Project Euclid: 13 May 2009

zbMATH: 1171.30016
MathSciNet: MR2532903
Digital Object Identifier: 10.2969/jmsj/06120607

Primary: 14J50 , 20H10 , 30F50

Keywords: automorphism groups , fundamental polygons , Klein surfaces , NEC groups

Rights: Copyright © 2009 Mathematical Society of Japan

Vol.61 • No. 2 • April, 2009
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