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On groups whose geodesic growth is polynomial

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10.1142/S0218196712500488
 
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hdl:2117/17183

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Bridson, Martin R.
Burillo Puig, JoséMés informacióMés informació
Elder, Murray
Šunic, Z.
Document typeArticle
Defense date2012-08
Rights accessRestricted access - publisher's policy
Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain
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)
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. 
URIhttp://hdl.handle.net/2117/17183
DOI10.1142/S0218196712500488
ISSN0218-1967
Publisher versionhttp://arxiv.org/pdf/1009.5051v3.pdf
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  • COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions - Articles de revista [252]
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