dc.creator | Funar, Louis | es |
dc.creator | Fernández Lasheras, Francisco Jesús | es |
dc.creator | Repovš, Dušan | es |
dc.date.accessioned | 2016-09-22T08:06:47Z | |
dc.date.available | 2016-09-22T08:06:47Z | |
dc.date.issued | 2012 | |
dc.identifier.citation | Funar, L., Fernández Lasheras, F.J. y Repovs, D. (2012). Groups which are not properly 3-realizable. Revista Matemática Iberoamericana, 28, 401-414. | |
dc.identifier.issn | 0213-2230 | es |
dc.identifier.uri | http://hdl.handle.net/11441/45241 | |
dc.description.abstract | A group is properly 3-realizable if it is the fundamental group of a compact
polyhedron whose universal covering is proper homotopically equivalent to some 3-manifold. We prove that when such a group is also quasi-simply filtered then it has pro-(finitely generated free) fundamental group at infinity and semi-stable ends. Conjecturally the quasi-simply filtration assumption is superfluous. Using these restrictions we provide the first examples of finitely presented groups which are not properly 3-realizable, for instance large families of Coxeter groups. | es |
dc.description.sponsorship | Proteus program | es |
dc.description.sponsorship | Agence Nationale de la Recherche | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | European Mathematical Society | es |
dc.relation.ispartof | Revista Matemática Iberoamericana, 28, 401-414. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Properly 3-realizable | es |
dc.subject | Geometric simple connectivity | es |
dc.subject | Quasi-simple filtered group | es |
dc.subject | Coxeter group | es |
dc.title | Groups which are not properly 3-realizable | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Geometría y Topología | es |
dc.relation.projectID | 08677YJ | es |
dc.relation.projectID | ANR-06-BLAN-0311 | es |
dc.relation.projectID | MTM 2010-20445 | es |
dc.relation.publisherversion | https://www-fourier.ujf-grenoble.fr/~funar/rmi2012.pdf | es |
dc.identifier.doi | 10.4171/rmi/682 | es |
dc.contributor.group | Universidad de Sevilla. FQM189: Homotopia Propia | es |
idus.format.extent | 16 p. | es |
dc.journaltitle | Revista Matemática Iberoamericana | es |
dc.publication.volumen | 28 | es |
dc.publication.initialPage | 401 | es |
dc.publication.endPage | 414 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/45241 | |