On the baker's map and the simplicity of the higher dimensional Thompson groups nV
We show that the baker's map is a finite product of transpositions (particularly pleasant involutions), and conclude from this that an existing very short proof of the simplicity of Thompson's group V applies with equal brevity to the higher dimensional Thompson groups nV .
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2010 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:57597 |
| Acceso en línea: | https://ddd.uab.cat/record/57597 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_54210_07 |
| Access Level: | acceso abierto |
| Palabra clave: | Thompson group Baker's map Infinite simple group |
| Sumario: | We show that the baker's map is a finite product of transpositions (particularly pleasant involutions), and conclude from this that an existing very short proof of the simplicity of Thompson's group V applies with equal brevity to the higher dimensional Thompson groups nV . |
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