On groups whose geodesic growth is polynomial
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hdl:2117/17183
Document typeArticle
Defense date2012-08
Rights accessRestricted access - publisher's policy
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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.
ISSN0218-1967
Publisher versionhttp://arxiv.org/pdf/1009.5051v3.pdf
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