Spaces of orders of some one-relator groups.

Alonso, Juan - Brum, Joaquín

Resumen:

We show that certain left-orderable groups admit no isolated left orders. The groups we consider are cyclic amalgamations of a free group with a general left-orderable group, the HNN extensions of free groups over cyclic subgroups, and a particular class of one-relator groups. In order to prove the results about orders, we develop perturbation techniques for actions of these groups on the line.

Detalles Bibliográficos
2018
Left orders
Actions on the line
One-relator groups
Inglés
Universidad de la República
COLIBRI
https://msp.org/agt/2018/18-7/p14.xhtml
https://hdl.handle.net/20.500.12008/47551
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
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author Alonso, Juan
author2 Brum, Joaquín
author2_role author
author_facet Alonso, Juan
Brum, Joaquín
author_role author
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collection COLIBRI
dc.contributor.filiacion.none.fl_str_mv Alonso Juan, Universidad de la República (Uruguay). Facultad de Ciencias.
Brum Joaquín, Universidad de la República (Uruguay). Facultad de Ingeniería.
dc.creator.none.fl_str_mv Alonso, Juan
Brum, Joaquín
dc.date.accessioned.none.fl_str_mv 2024-12-16T17:38:14Z
dc.date.available.none.fl_str_mv 2024-12-16T17:38:14Z
dc.date.issued.none.fl_str_mv 2018
dc.description.abstract.none.fl_txt_mv We show that certain left-orderable groups admit no isolated left orders. The groups we consider are cyclic amalgamations of a free group with a general left-orderable group, the HNN extensions of free groups over cyclic subgroups, and a particular class of one-relator groups. In order to prove the results about orders, we develop perturbation techniques for actions of these groups on the line.
dc.format.extent.es.fl_str_mv 26 p.
dc.format.mimetype.es.fl_str_mv application/pdf
dc.identifier.citation.es.fl_str_mv Alonso, J. y Brum, J. "Spaces of orders of some one-relator groups". Algebraic & Geometric Topology. [en línea]. 2018, vol. 18, no. 7, pp. 4161-4185. DOI: 10.2140/agt.2018.18.4161.
dc.identifier.doi.none.fl_str_mv 10.2140/agt.2018.18.4161
dc.identifier.eissn.none.fl_str_mv 1472-2739
dc.identifier.issn.none.fl_str_mv 1472-2747
dc.identifier.uri.none.fl_str_mv https://msp.org/agt/2018/18-7/p14.xhtml
https://hdl.handle.net/20.500.12008/47551
dc.language.iso.none.fl_str_mv en
eng
dc.publisher.es.fl_str_mv Mathematical Sciences Publishers
dc.relation.none.fl_str_mv Algebraic & Geometric Topology, vol. 18, no. 7, 2018, pp. 4161-4185.
dc.rights.license.none.fl_str_mv Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
dc.source.none.fl_str_mv reponame:COLIBRI
instname:Universidad de la República
instacron:Universidad de la República
dc.subject.es.fl_str_mv Left orders
Actions on the line
One-relator groups
dc.title.none.fl_str_mv Spaces of orders of some one-relator groups.
dc.type.es.fl_str_mv Artículo
dc.type.none.fl_str_mv info:eu-repo/semantics/article
dc.type.version.none.fl_str_mv info:eu-repo/semantics/publishedVersion
description We show that certain left-orderable groups admit no isolated left orders. The groups we consider are cyclic amalgamations of a free group with a general left-orderable group, the HNN extensions of free groups over cyclic subgroups, and a particular class of one-relator groups. In order to prove the results about orders, we develop perturbation techniques for actions of these groups on the line.
eu_rights_str_mv openAccess
format article
id COLIBRI_d05046efc1bbc6fbfda2068a65e04bb7
identifier_str_mv Alonso, J. y Brum, J. "Spaces of orders of some one-relator groups". Algebraic & Geometric Topology. [en línea]. 2018, vol. 18, no. 7, pp. 4161-4185. DOI: 10.2140/agt.2018.18.4161.
1472-2747
10.2140/agt.2018.18.4161
1472-2739
instacron_str Universidad de la República
institution Universidad de la República
instname_str Universidad de la República
language eng
language_invalid_str_mv en
network_acronym_str COLIBRI
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publishDate 2018
reponame_str COLIBRI
repository.mail.fl_str_mv karina.camps@seciu.edu.uy
repository.name.fl_str_mv COLIBRI - Universidad de la República
repository_id_str 4771
rights_invalid_str_mv Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
spelling Alonso Juan, Universidad de la República (Uruguay). Facultad de Ciencias.Brum Joaquín, Universidad de la República (Uruguay). Facultad de Ingeniería.2024-12-16T17:38:14Z2024-12-16T17:38:14Z2018Alonso, J. y Brum, J. "Spaces of orders of some one-relator groups". Algebraic & Geometric Topology. [en línea]. 2018, vol. 18, no. 7, pp. 4161-4185. DOI: 10.2140/agt.2018.18.4161.1472-2747https://msp.org/agt/2018/18-7/p14.xhtmlhttps://hdl.handle.net/20.500.12008/4755110.2140/agt.2018.18.41611472-2739We show that certain left-orderable groups admit no isolated left orders. The groups we consider are cyclic amalgamations of a free group with a general left-orderable group, the HNN extensions of free groups over cyclic subgroups, and a particular class of one-relator groups. In order to prove the results about orders, we develop perturbation techniques for actions of these groups on the line.Submitted by Ribeiro Jorge (jribeiro@fing.edu.uy) on 2024-12-16T12:47:21Z No. of bitstreams: 2 license_rdf: 25790 bytes, checksum: 13adb202270a5f7cee03e795b33133c4 (MD5) AB18.pdf: 400146 bytes, checksum: 1d0520a598e9b320ef3613035e890f45 (MD5)Approved for entry into archive by Machado Jimena (jmachado@fing.edu.uy) on 2024-12-16T15:46:58Z (GMT) No. of bitstreams: 2 license_rdf: 25790 bytes, checksum: 13adb202270a5f7cee03e795b33133c4 (MD5) AB18.pdf: 400146 bytes, checksum: 1d0520a598e9b320ef3613035e890f45 (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2024-12-16T17:38:14Z (GMT). No. of bitstreams: 2 license_rdf: 25790 bytes, checksum: 13adb202270a5f7cee03e795b33133c4 (MD5) AB18.pdf: 400146 bytes, checksum: 1d0520a598e9b320ef3613035e890f45 (MD5) Previous issue date: 201826 p.application/pdfenengMathematical Sciences PublishersAlgebraic & Geometric Topology, vol. 18, no. 7, 2018, pp. 4161-4185.Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)Left ordersActions on the lineOne-relator groupsSpaces of orders of some one-relator groups.Artículoinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaAlonso, JuanBrum, JoaquínLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/47551/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-850http://localhost:8080/xmlui/bitstream/20.500.12008/47551/2/license_urla006180e3f5b2ad0b88185d14284c0e0MD52license_textlicense_texttext/html; charset=utf-829944http://localhost:8080/xmlui/bitstream/20.500.12008/47551/3/license_text524858bca213884d7eb934480bc83967MD53license_rdflicense_rdfapplication/rdf+xml; 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- Universidad de la Repúblicafalse
spellingShingle Spaces of orders of some one-relator groups.
Alonso, Juan
Left orders
Actions on the line
One-relator groups
status_str publishedVersion
title Spaces of orders of some one-relator groups.
title_full Spaces of orders of some one-relator groups.
title_fullStr Spaces of orders of some one-relator groups.
title_full_unstemmed Spaces of orders of some one-relator groups.
title_short Spaces of orders of some one-relator groups.
title_sort Spaces of orders of some one-relator groups.
topic Left orders
Actions on the line
One-relator groups
url https://msp.org/agt/2018/18-7/p14.xhtml
https://hdl.handle.net/20.500.12008/47551

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