Thompson's group is the orientation-preserving automorphism group of a cellular complex
We consider a planar surface ∑ of in nite type which has Thompson's group T as asymptotic mapping class group. We construct the asymptotic pants complex C of ∑ and prove that the group T acts transitively by automorphisms on it. Finally, we establish that the automorphism group of the complex C...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2012 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:91307 |
| Acceso en línea: | https://ddd.uab.cat/record/91307 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_56212_03 |
| Access Level: | acceso abierto |
| Palabra clave: | Mapping class groups Ip complex Infinite type surfaces Group actions Thompson's groups |
| Sumario: | We consider a planar surface ∑ of in nite type which has Thompson's group T as asymptotic mapping class group. We construct the asymptotic pants complex C of ∑ and prove that the group T acts transitively by automorphisms on it. Finally, we establish that the automorphism group of the complex C is an extension of the Thompson group T by Z=2Z. |
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