Large automorphism groups of bordered tori
We study large groups of automorphisms of compact orientable bordered Klein surfaces of topological genus one. Here, large means that the order of the group is greater than or equal to 4(g−1), where g ≥ 2 is the algebraic genus of the surface. We find all such groups, providing presentations by mean...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/106835 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/106835 |
| Access Level: | acceso abierto |
| Palabra clave: | Compact bordered Klein surfaces NEC groups Extendability of group actions Geometria algebraica 1201.01 Geometría Algebraica |
| Sumario: | We study large groups of automorphisms of compact orientable bordered Klein surfaces of topological genus one. Here, large means that the order of the group is greater than or equal to 4(g−1), where g ≥ 2 is the algebraic genus of the surface. We find all such groups, providing presentations by means of generators and relations of them. We also determine which of these groups act as the full automorphism group of some bordered torus. |
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