Artículo
On the structure of the centralizer of a braid
Autor/es | González-Meneses López, Juan |
Departamento | Universidad de Sevilla. Departamento de álgebra |
Fecha de publicación | 2004 |
Fecha de depósito | 2016-07-05 |
Publicado en |
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Resumen | The mixed braid groups are the subgroups of Artin braid groups
whose elements preserve a given partition of the base points. We prove
that the centralizer of any braid can be expressed in terms of semidirect
and ... The mixed braid groups are the subgroups of Artin braid groups whose elements preserve a given partition of the base points. We prove that the centralizer of any braid can be expressed in terms of semidirect and direct products of mixed braid groups. Then we construct a generating set of the centralizer of any braid on n strands, which has at most k(k+1) 2 elements if n = 2k, and at most k(k+3) 2 elements if n = 2k + 1. These bounds are shown to be sharp, due to work of N.V.Ivanov and of S.J.Lee. Finally, we describe how one can explicitly compute this generating set. |
Agencias financiadoras | Ministerio de Ciencia y Tecnología (MCYT). España European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) |
Identificador del proyecto | BFM2001-3207 |
Cita | González-Meneses López, J. (2004). On the structure of the centralizer of a braid. Annales Scientifiques de l’École Normale Supérieure, 37 (5), 729-757. |
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