Commensurations and metric properties of Houghton's groups

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/103242

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor	Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions
dc.contributor.author	Burillo Puig, José
dc.contributor.author	Cleary, Sean
dc.contributor.author	Martino, Armando
dc.contributor.author	Röver, Claas E.
dc.date	2016-12-01
dc.identifier.citation	Burillo, J., Cleary, S., Martino, A., Röver, C. Commensurations and metric properties of Houghton's groups. "Pacific journal of mathematics", 1 Desembre 2016, vol. 285, núm. 2, p. 289-301.
dc.identifier.citation	0030-8730
dc.identifier.citation	10.2140/pjm.2016.285.289
dc.identifier.uri	http://hdl.handle.net/2117/103242
dc.language.iso	eng
dc.relation	http://msp.org/pjm/2016/285-2/p03.xhtml
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de grups
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria algebraica
dc.subject	Group theory
dc.subject	Geometry
dc.subject	Topology
dc.subject	Houghton's groups
dc.subject	commensurations
dc.subject	Grups, Teoria de
dc.subject	Geometria
dc.subject	Topologia
dc.subject	Classificació AMS::14 Algebraic geometry::14L Algebraic groups
dc.subject	Classificació AMS::51 Geometry::51H Topological geometry
dc.title	Commensurations and metric properties of Houghton's groups
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	We describe the automorphism groups and the abstract commensurators of Houghton’s groups. Then we give sharp estimates for the word metric of these groups and deduce that the commensurators embed into the corresponding quasi-isometry groups. As a further consequence, we obtain that the Houghton group on two rays is at least quadratically distorted in those with three or more rays.
dc.description.abstract	Peer Reviewed

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