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Título:
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The action of the groups Dm × Dn on unbordered Klein surfaces
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Autores:
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Etayo Gordejuela, J. Javier ;
Martínez García, Ernesto
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Tipo de documento:
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texto impreso
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Editorial:
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Springer, 2011
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Grupos (Matemáticas)
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Tipo = Artículo
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Resumen:
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Every finite group G may act as an automorphism group of Klein surfaces either bordered or unbordered either orientable or non-orientable. For each group the minimum genus receives different names according to the topological features of the surface X on which it acts. If X is a bordered surface the genus is called the real genus ?(G). If X is a non-orientable unbordered surface the genus is called the symmetric crosscap number of G and it is denoted by [(s)\tilde](G)(G). Finally if X is a Riemann surface it has two related parameters. If G only contains orientation-preserving automorphisms we have the strong symmetric genus, ? 0(G). If we allow orientation-reversing automorphisms we have the symmetric genus ?(G). In this work we obtain the strong symmetric genus and the symmetric crosscap number of the groups D m × D n . The symmetric genus of these groups is 1. However we introduce and obtain a new parameter, denoted by ? as the least genus g ? 2 of Riemann surfaces on which these groups act disregarding orientation
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En línea:
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https://eprints.ucm.es/id/eprint/15815/1/Etayo11.pdf
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