A description of auto-fixed subgroups in a free group
Let F be a finitely generated free group. By using Bestvina-Handel theory, as well as some further improvements, the eigengroups of a given automorphism of F (and its fixed subgroup among them) are globally analyzed and described. In particular, an explicit description of all subgroups of F which oc...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2004 |
| 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:2117/22454 |
| Acceso en línea: | https://hdl.handle.net/2117/22454 https://dx.doi.org/10.1016/j.top.2004.01.003 |
| Access Level: | acceso abierto |
| Palabra clave: | Automorphisms Group theory Free group Automorphism Fixed subgroup Eigengroup Automorfismes Grups, Teoria de Classificació AMS::20 Group theory and generalizations::20E Structure and classification of infinite or finite groups Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra |
| Sumario: | Let F be a finitely generated free group. By using Bestvina-Handel theory, as well as some further improvements, the eigengroups of a given automorphism of F (and its fixed subgroup among them) are globally analyzed and described. In particular, an explicit description of all subgroups of F which occur as the fixed subgroup of some automorphism is given. |
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