p-Groups of automorphisms of compact non-orientable Riemann surfaces
We study p-groups of automorphisms of compact non-orientable Riemann surfaces of topological genus g≥3. We obtain upper bounds of the order of such groups in terms of p, g and the minimal number of generators of the group. We also determine those values of g for which these bounds are sharp. Further...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/4667 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/4667 |
| Access Level: | acceso abierto |
| Palabra clave: | Non-orientable compact Riemann surfaces p-Groups NEC groups Cyclic and dihedral groups · Riemann–Hurwitz formula Funciones (Matemáticas) Geometría 1202 Análisis y Análisis Funcional 1204 Geometría |
| Sumario: | We study p-groups of automorphisms of compact non-orientable Riemann surfaces of topological genus g≥3. We obtain upper bounds of the order of such groups in terms of p, g and the minimal number of generators of the group. We also determine those values of g for which these bounds are sharp. Furthermore, the same kind of results are obtained when the p-group acts as the full automorphism group of the surface. |
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