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On groups whose geodesic growth is polynomial

dc.contributor.authorBridson, Martin R.
dc.contributor.authorBurillo Puig, José
dc.contributor.authorElder, Murray
dc.contributor.authorŠunic, Z.
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV
dc.date.accessioned2012-12-20T16:02:17Z
dc.date.created2012-08
dc.date.issued2012-08
dc.identifier.citationBridson, M. [et al.]. On groups whose geodesic growth is polynomial. "International journal of algebra and computation", Agost 2012, vol. 22, núm. 5, p. 1-11.
dc.identifier.issn0218-1967
dc.identifier.urihttp://hdl.handle.net/2117/17183
dc.description.abstractThis note records some observations concerning geodesic growth functions. If a nilpotent group is not virtually cyclic then it has exponential geodesic growth with respect to all finite generating sets. On the other hand, if a finitely generated group G has an element whose normal closure is abelian and of finite index, then G has a finite generating set with respect to which the geodesic growth is polynomial (this includes all virtually cyclic groups)
dc.format.extent11 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
dc.subject.lcshGeodesics (Mathematics)
dc.subject.lcshÀlgebra
dc.subject.otherGeodesic growth
dc.subject.othervirtually nilpotent group
dc.subject.othervirtually cyclic abelianization
dc.titleOn groups whose geodesic growth is polynomial
dc.typeArticle
dc.subject.lemacGeodèsiques (Matemàtica)
dc.subject.lemacAlgebra
dc.contributor.groupUniversitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions
dc.identifier.doi10.1142/S0218196712500488
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttp://arxiv.org/pdf/1009.5051v3.pdf
dc.rights.accessRestricted access - publisher's policy
local.identifier.drac10908149
dc.description.versionPostprint (published version)
dc.date.lift10000-01-01
local.citation.authorBridson, M.; Burillo, J.; Elder, M.; Šunic, Z.
local.citation.publicationNameInternational journal of algebra and computation
local.citation.volume22
local.citation.number5
local.citation.startingPage1
local.citation.endingPage11


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