Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/931710
- Title
- On groups whose geodesic growth is polynomial
- Author/Creator
-
Bridson, Martin R.;
Burillo, José;
Elder, Murray;
Šunić, Zoran
- Description
- 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).
- Relation
- International Journal of Algebra and Computation Vol. 22, Issue 5
- Publisher Link
- http://dx.doi.org/10.1142/S0218196712500488
- Date
- 2012
- Publisher
- World Scientific Publishing
- Keyword(s)
-
geodesic growth;
virtually nilpotent group;
virtually cyclic abelianization
- Resource Type
- journal article
- Rights
- Electronic version of an article published as International Journal of Algebra and Computation, Volume 22, Issue 5, 2012, 1250048 [10.1142/S0218196712500488] © copyright World Scientific Publishing Company, http://www.worldscientific.com/worldscinet/ijac
- Identifier
- http://hdl.handle.net/1959.13/931710
- Identifier
- ISSN:0218-1967
- Language
- eng
- Reviewed
-
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