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On groups whose geodesic growth is polynomial
- Publication Year :
- 2012
-
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)<br />Peer Reviewed<br />Postprint (published version)
Details
- Database :
- OAIster
- Notes :
- 11 p., application/pdf, English
- Publication Type :
- Electronic Resource
- Accession number :
- edsoai.on1132965912
- Document Type :
- Electronic Resource