dc.creator | Cárdenas Escudero, Manuel Enrique | es |
dc.creator | Fernández Lasheras, Francisco Jesús | es |
dc.creator | Quintero Toscano, Antonio Rafael | es |
dc.creator | Repovš, Dušan | es |
dc.date.accessioned | 2016-07-08T07:22:18Z | |
dc.date.available | 2016-07-08T07:22:18Z | |
dc.date.issued | 2009 | |
dc.identifier.citation | Cárdenas Escudero, M.E., Fernández Lasheras, F.J., Quintero Toscano, A.R. y Repovš, D. (2009). One-relator groups and proper 3-realizability. Revista Matemática Iberoamericana, 25, 739-756. | |
dc.identifier.issn | 0213-2230 | es |
dc.identifier.issn | 2235-0616 | es |
dc.identifier.uri | http://hdl.handle.net/11441/43365 | |
dc.description.abstract | How different is the universal cover of a given finite 2-complex from a 3-manifold (from the proper homotopy viewpoint)? Regarding this question, we recall that a finitely presented group G is said to be properly 3-realizable if there exists a compact 2-polyhedron K with π1(K) ∼= G whose universal cover K˜ has the proper homotopy type of a PL 3-manifold (with boundary). In this paper, we study the asymptotic behavior of finitely generated one-relator groups and show that those having finitely many ends are properly 3-realizable, by describing what the fundamental pro-group looks like, showing a property of one-relator groups which is stronger than the QSF property
of Brick (from the proper homotopy viewpoint) and giving an alternative proof of the fact that one-relator groups are semistable at infinity. | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | European Mathematical Society | es |
dc.relation.ispartof | Revista Matemática Iberoamericana, 25, 739-756. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Proper homotopy equivalence | es |
dc.subject | Polyhedron | es |
dc.subject | One-relator group | es |
dc.subject | Proper 3-realizability | es |
dc.subject | End of group | es |
dc.title | One-relator groups and proper 3-realizability | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
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 | MTM 2007-65726 | es |
dc.relation.projectID | BI-ES/04-05-014 | es |
dc.contributor.group | Universidad de Sevilla. FQM189: Homotopia Propia | es |
idus.format.extent | 15 p. | es |
dc.journaltitle | Revista Matemática Iberoamericana | es |
dc.publication.volumen | 25 | es |
dc.publication.initialPage | 739 | es |
dc.publication.endPage | 756 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/43365 | |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España | |