Pure braid subgroups of braided Thompson's groups

We describe some properties of braided generalizations of Thompson's groups, introduced by Brin and Dehornoy. We give slightly different characterizations of the braided Thompson's groups BV and BVd which lead to natural presentations which emphasize one of their subgroup-containment prope...

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Detalles Bibliográficos
Autores: Brady, Tom, Burillo Puig, Josep, Cleary, Sean, Stein, Melanie
Tipo de recurso: artículo
Fecha de publicación:2008
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:21991
Acceso en línea:https://ddd.uab.cat/record/21991
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_52108_03
Access Level:acceso abierto
Palabra clave:Thompson's groups
Braid groups
Pure braids
Braided tree diagrams
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spelling Pure braid subgroups of braided Thompson's groupsBrady, TomBurillo Puig, JosepCleary, SeanStein, MelanieThompson's groupsBraid groupsPure braidsBraided tree diagramsWe describe some properties of braided generalizations of Thompson's groups, introduced by Brin and Dehornoy. We give slightly different characterizations of the braided Thompson's groups BV and BVd which lead to natural presentations which emphasize one of their subgroup-containment properties. We consider pure braided versions of Thompson's group F. These groups, BF and BFd, are subgroups of the braided versions of Thompson's group V . Unlike V , elements of F are order-preserving self-maps of the interval and we use pure braids together with elements of F thus again preserving order. We define these pure braided groups, give normal forms for elements, and construct infinite and finite presentations of these groups. 22008-01-0120082008-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/21991https://dx.doi.org/urn:doi:10.5565/PUBLMAT_52108_03reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:219912026-06-06T12:50:31Z
dc.title.none.fl_str_mv Pure braid subgroups of braided Thompson's groups
title Pure braid subgroups of braided Thompson's groups
spellingShingle Pure braid subgroups of braided Thompson's groups
Brady, Tom
Thompson's groups
Braid groups
Pure braids
Braided tree diagrams
title_short Pure braid subgroups of braided Thompson's groups
title_full Pure braid subgroups of braided Thompson's groups
title_fullStr Pure braid subgroups of braided Thompson's groups
title_full_unstemmed Pure braid subgroups of braided Thompson's groups
title_sort Pure braid subgroups of braided Thompson's groups
dc.creator.none.fl_str_mv Brady, Tom
Burillo Puig, Josep
Cleary, Sean
Stein, Melanie
author Brady, Tom
author_facet Brady, Tom
Burillo Puig, Josep
Cleary, Sean
Stein, Melanie
author_role author
author2 Burillo Puig, Josep
Cleary, Sean
Stein, Melanie
author2_role author
author
author
dc.subject.none.fl_str_mv Thompson's groups
Braid groups
Pure braids
Braided tree diagrams
topic Thompson's groups
Braid groups
Pure braids
Braided tree diagrams
description We describe some properties of braided generalizations of Thompson's groups, introduced by Brin and Dehornoy. We give slightly different characterizations of the braided Thompson's groups BV and BVd which lead to natural presentations which emphasize one of their subgroup-containment properties. We consider pure braided versions of Thompson's group F. These groups, BF and BFd, are subgroups of the braided versions of Thompson's group V . Unlike V , elements of F are order-preserving self-maps of the interval and we use pure braids together with elements of F thus again preserving order. We define these pure braided groups, give normal forms for elements, and construct infinite and finite presentations of these groups.
publishDate 2008
dc.date.none.fl_str_mv 2
2008-01-01
2008
2008-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/21991
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_52108_03
url https://ddd.uab.cat/record/21991
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_52108_03
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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