Título: | Alternating groups as automorphism groups of Riemann surfaces |
Autores: | Etayo Gordejuela, J. Javier ; Martínez García, Ernesto |
Tipo de documento: | texto impreso |
Editorial: | World Scientific, 2006 |
Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Geometria algebraica , Tipo = Artículo |
Resumen: | In this work we give pairs of generators (x, y) for the alternating groups An, 5 ? n ? 19, such that they determine the minimal genus of a Riemann surface on which An acts as the automorphism group. Using these results we prove that A15 is the unique of these groups that is an H*-group, i.e., the groups achieving the upper bound of the order of an automorphism group acting on non-orientable unbordered surfaces. |
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