dc.creator | Fernández Lasheras, Francisco Jesús | es |
dc.creator | Roy, Ranja | es |
dc.date.accessioned | 2016-10-04T11:12:37Z | |
dc.date.available | 2016-10-04T11:12:37Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | Fernández Lasheras, F.J. y Roy, R. (2013). Relating the Freiheitssatz to the asymptotic behavior of a group. Revista Matemática Iberoamericana, 29 (1), 75-89. | |
dc.identifier.issn | 0213-2230 | es |
dc.identifier.uri | http://hdl.handle.net/11441/46902 | |
dc.description.abstract | We are concerned with the implications of the Freiheitssatz
property for certain group presentations in terms of proper homotopy invariants of the underlying group, by describing its fundamental pro-group.
A finitely presented group G is said to be properly 3-realizable if it is the
fundamental group of a finite 2-dimensional CW-complex whose universal
cover has the proper homotopy type of a 3-manifold. We show that
if an infinite finitely presented group G is given by some special kind of
presentation satisfying the Freiheitssatz, then G is semistable at infinity
and properly 3-realizable. In particular, this applies to groups given by a
staggered presentation. | 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, 29 (1), 75-89. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Freiheitssatz | es |
dc.subject | Proper homotopy | es |
dc.subject | Ends of groups | es |
dc.subject | Ssemistable at infinity | es |
dc.subject | Fundamental pro-group | es |
dc.subject | Properly 3-realizable | es |
dc.subject | 3-manifold | es |
dc.title | Relating the Freiheitssatz to the asymptotic behavior of a group | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | 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 | MTM2010-20445 | es |
dc.relation.publisherversion | http://www.ems-ph.org/journals/show_pdf.php?issn=0213-2230&vol=29&iss=1&rank=4 | es |
dc.identifier.doi | 10.4171/RMI/713 | 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 | 29 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 75 | es |
dc.publication.endPage | 89 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/46902 | |
dc.contributor.funder | Ministerio de Ciencia e Innovación (MICIN). España | |