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Twisted conjugacy in braid groups
dc.contributor.author | Gonzalez Meneses, Juan |
dc.contributor.author | Ventura Capell, Enric |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2014-11-19T15:52:22Z |
dc.date.available | 2015-03-09T03:32:17Z |
dc.date.created | 2014-01-01 |
dc.date.issued | 2014-01-01 |
dc.identifier.citation | Gonzalez, J.; Ventura, E. Twisted conjugacy in braid groups. "Israel journal of mathematics", 07 Febrer 2014, vol. 201, núm. 1, p. 455-476. |
dc.identifier.issn | 0021-2172 |
dc.identifier.uri | http://hdl.handle.net/2117/24771 |
dc.description.abstract | In this note we solve the twisted conjugacy problem for braid groups, i.e., we propose an algorithm which, given two braids u,v is an element of B-n and an automorphism phi is an element of Aut(B-n), decides whether v = (phi(x))(-1)-ux for some x is an element of B-n. As a corollary, we deduce that each group of the form B-n x H, a semidirect product of the braid group B-n by a torsion-free hyperbolic group H, has solvable conjugacy problem. |
dc.format.extent | 22 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de grups |
dc.subject.lcsh | Group theory |
dc.subject.other | Braid group |
dc.subject.other | Twisted conjugacy |
dc.title | Twisted conjugacy in braid groups |
dc.type | Article |
dc.subject.lemac | Grups, Teoria de |
dc.contributor.group | Universitat Politècnica de Catalunya. MD - Matemàtica Discreta |
dc.identifier.doi | 10.1007/s11856-014-0032-4 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::20 Group theory and generalizations::20F Special aspects of infinite or finite groups |
dc.relation.publisherversion | https://link.springer.com/article/10.1007%2Fs11856-014-0032-4 |
dc.rights.access | Open Access |
local.identifier.drac | 15283513 |
dc.description.version | Postprint (author’s final draft) |
local.citation.author | Gonzalez, J.; Ventura, E. |
local.citation.publicationName | Israel journal of mathematics |
local.citation.volume | 201 |
local.citation.number | 1 |
local.citation.startingPage | 455 |
local.citation.endingPage | 476 |
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