Artículo
Twisted conjugacy in braid groups
Autor/es | González-Meneses López, Juan
Ventura Capell, Enric |
Departamento | Universidad de Sevilla. Departamento de álgebra |
Fecha de publicación | 2014 |
Fecha de depósito | 2016-05-13 |
Publicado en |
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Resumen | In this note we solve the twisted conjugacy problem for braid
groups, i.e. we propose an algorithm which, given two braids u, v ∈ Bn and
an automorphism ϕ ∈ Aut(Bn), decides whether v = (ϕ(x))−1ux for some
x ∈ Bn. As a ... In this note we solve the twisted conjugacy problem for braid groups, i.e. we propose an algorithm which, given two braids u, v ∈ Bn and an automorphism ϕ ∈ Aut(Bn), decides whether v = (ϕ(x))−1ux for some x ∈ Bn. As a corollary, we deduce that each group of the form Bn o H, a semidirect product of the braid group Bn by a torsion-free hyperbolic group H, has solvable conjugacy problem. |
Identificador del proyecto | MTM2007-66929
MTM2010-19355 P09-FQM- 5112 |
Cita | González-Meneses López, J. y Ventura Capell, E. (2014). Twisted conjugacy in braid groups. Israel Journal of Mathematics, 201 (1), 455-476. |
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