New presentations of surface braid groups

In this paper we give new presentations of the braid groups and the pure braid groups of a closed surface. We also give an algorithm to solve the word problem in these groups, using the given presentations.

Detalles Bibliográficos
Autor: González-Meneses López, Juan
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2001
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/43113
Acceso en línea:http://hdl.handle.net/11441/43113
https://doi.org/10.1142/S0218216501000949
Access Level:acceso abierto
Palabra clave:braid
surface
presentation
word problem
id ES_502d4e2a0bddac4b3929216e417a04a3
oai_identifier_str oai:idus.us.es:11441/43113
network_acronym_str ES
network_name_str España
repository_id_str
spelling New presentations of surface braid groupsGonzález-Meneses López, Juanbraidsurfacepresentationword problemIn this paper we give new presentations of the braid groups and the pure braid groups of a closed surface. We also give an algorithm to solve the word problem in these groups, using the given presentations.Dirección General de Enseñanza SuperiorWorld Scientific PublishingÁlgebraFQM218: Geometria Algebraica, Sistemas Diferenciales y SingularidadesDirección General de Enseñanza Superior. España2001info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/43113https://doi.org/10.1142/S0218216501000949reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Knot Theory and Its Ramifications, 10 (3), 431-451.PB97-0723http://doi.org/10.1142/S0218216501000949info:eu-repo/semantics/openAccessoai:idus.us.es:11441/431132026-06-17T12:51:07Z
dc.title.none.fl_str_mv New presentations of surface braid groups
title New presentations of surface braid groups
spellingShingle New presentations of surface braid groups
González-Meneses López, Juan
braid
surface
presentation
word problem
title_short New presentations of surface braid groups
title_full New presentations of surface braid groups
title_fullStr New presentations of surface braid groups
title_full_unstemmed New presentations of surface braid groups
title_sort New presentations of surface braid groups
dc.creator.none.fl_str_mv González-Meneses López, Juan
author González-Meneses López, Juan
author_facet González-Meneses López, Juan
author_role author
dc.contributor.none.fl_str_mv Álgebra
FQM218: Geometria Algebraica, Sistemas Diferenciales y Singularidades
Dirección General de Enseñanza Superior. España
dc.subject.none.fl_str_mv braid
surface
presentation
word problem
topic braid
surface
presentation
word problem
description In this paper we give new presentations of the braid groups and the pure braid groups of a closed surface. We also give an algorithm to solve the word problem in these groups, using the given presentations.
publishDate 2001
dc.date.none.fl_str_mv 2001
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/43113
https://doi.org/10.1142/S0218216501000949
url http://hdl.handle.net/11441/43113
https://doi.org/10.1142/S0218216501000949
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Knot Theory and Its Ramifications, 10 (3), 431-451.
PB97-0723
http://doi.org/10.1142/S0218216501000949
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv World Scientific Publishing
publisher.none.fl_str_mv World Scientific Publishing
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869407865821724672
score 15,300719