Article
The nth root of a braid is unique up to conjugacy
Author/s | González-Meneses López, Juan |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2003-11-01 |
Deposit Date | 2016-07-05 |
Published in |
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Abstract | 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. |
Funding agencies | Ministerio de Ciencia y Tecnología (MCYT). España European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) |
Project ID. | BFM2001-3207 |
Citation | González-Meneses López, J. (2003). The nth root of a braid is unique up to conjugacy. Algebraic and Geometric Topology, 3, 1103-1118. |
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