The nth root of a braid is unique up to conjugacy
We prove a conjecture due to Makanin: if α and β are elements of the Artin braid group Bn such that α k = β k for some nonzero integer k, then α and β are conjugate. The proof involves the Nielsen-Thurston classification of braids.
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2003 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/43115 |
| Acesso em linha: | http://hdl.handle.net/11441/43115 https://doi.org/10.2140/agt.2003.3.1103 |
| Access Level: | acceso abierto |
| Palavra-chave: | braid root conjugacy Nielsen-Thurston theory |
| Resumo: | We prove a conjecture due to Makanin: if α and β are elements of the Artin braid group Bn such that α k = β k for some nonzero integer k, then α and β are conjugate. The proof involves the Nielsen-Thurston classification of braids. |
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