On groups whose geodesic growth is polynomial

Bridson, MR; Burillo, J; Elder, M; Šunić, Z

On groups whose geodesic growth is polynomial

Bridson, MR Burillo, J Elder, M

Šunić, Z

Permalink

Publication Type:: Journal Article
Citation:: International Journal of Algebra and Computation, 2012, 22 (5)
Issue Date:: 2012-01-01

Open Access

Copyright Clearance Process

Recently Added
In Progress
Open Access

This item is open access.

Adobe PDF

Download Accepted Manuscript VersionAdobe PDF (172.84 kB)

View on publisher's site

View statistics

Full metadata record

Field	Value	Language
dc.contributor.author	Bridson, MR	en_US
dc.contributor.author	Burillo, J	en_US
dc.contributor.author	Elder, M https://orcid.org/0000-0002-2438-3945	en_US
dc.contributor.author	Šunić, Z	en_US
dc.date.issued	2012-01-01	en_US
dc.identifier.citation	International Journal of Algebra and Computation, 2012, 22 (5)	en_US
dc.identifier.issn	0218-1967	en_US
dc.identifier.uri	http://hdl.handle.net/10453/98854
dc.description.abstract	© World Scientific Publishing Company. This paper 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).	en_US
dc.relation.ispartof	International Journal of Algebra and Computation	en_US
dc.relation.isbasedon	10.1142/S0218196712500488	en_US
dc.subject.classification	General Mathematics	en_US
dc.title	On groups whose geodesic growth is polynomial	en_US
dc.type	Journal Article
utslib.citation.volume	5	en_US
utslib.citation.volume	22	en_US
utslib.for	0101 Pure Mathematics	en_US
utslib.for	0103 Numerical and Computational Mathematics	en_US
utslib.for	0802 Computation Theory and Mathematics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Science
pubs.organisational-group	/University of Technology Sydney/Faculty of Science/School of Mathematical and Physical Sciences
utslib.copyright.status	open_access
pubs.issue	5	en_US
pubs.publication-status	Published	en_US
pubs.volume	22	en_US

Abstract:

© World Scientific Publishing Company. This paper 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).

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/98854