dc.contributor
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV
dc.contributor
Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions
dc.contributor.author
Bridson, Martin R.
dc.contributor.author
Burillo Puig, José
dc.contributor.author
Elder, Murray
dc.contributor.author
Šunic, Z.
dc.identifier
Bridson, 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
https://hdl.handle.net/2117/17183
dc.identifier
10.1142/S0218196712500488
dc.description.abstract
This 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.description.abstract
Peer Reviewed
dc.description.abstract
Postprint (published version)
dc.format
application/pdf
dc.relation
http://arxiv.org/pdf/1009.5051v3.pdf
dc.rights
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights
Restricted access - publisher's policy
dc.rights
Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.subject
Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
dc.subject
Geodesics (Mathematics)
dc.subject
Geodesic growth
dc.subject
virtually nilpotent group
dc.subject
virtually cyclic abelianization
dc.subject
Geodèsiques (Matemàtica)
dc.title
On groups whose geodesic growth is polynomial
