Fixed subgroups in direct products of surface groups of Euclidean type
We give an explicit characterization of which direct products G of surface groups of Euclidean type satisfy that the fixed subgroup of any automorphism (or endomorphism) of G is compressed, and of which is it always inert.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/178678 |
| Acceso en línea: | https://hdl.handle.net/2117/178678 https://dx.doi.org/10.1080/00927872.2020.1726939 |
| Access Level: | acceso abierto |
| Palabra clave: | Endomorphisms (Group theory) Free groups Group theory Compressed Direct products Fixed subgroups Inert Intersections Surface groups Endomorfismes (Teoria de grups) Grups, Teoria de Classificació AMS::20 Group theory and generalizations::20F Special aspects of infinite or finite groups Classificació AMS::57 Manifolds and cell complexes::57M Low-dimensional topology Àrees temàtiques de la UPC::Matemàtiques i estadística |
| Sumario: | We give an explicit characterization of which direct products G of surface groups of Euclidean type satisfy that the fixed subgroup of any automorphism (or endomorphism) of G is compressed, and of which is it always inert. |
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