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2022-01-01
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info:eu-repo/semantics/openAccess
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Editorial
American Mathematical Society
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Resumen
We study finitely generated discrete groups of hyperbolic plane isometries (including those which reverse orientation) with non-compact orbit space. A presentation by generators and relations of this type of group is obtained. To that end, we use the geometrical properties of a fundamental region with a canonical form, and apply Macbeath’s classical theorem on presentations of groups of isometries of simply connected spaces. Our main result here is a complete version of a structure theorem stated without proof by Zieschang, Vogt and Coldewey in [9].
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Categorías UNESCO
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Citación
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Centro
Facultad de Ciencias
Departamento
Matemáticas Fundamentales
Grupo de investigación
Superficies de Riemann y de Klein