Geodesic growth in virtually abelian groups

Bishop, A

Geodesic growth in virtually abelian groups

Bishop, A

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Field	Value	Language
dc.contributor.author	Bishop, A https://orcid.org/0000-0001-6803-1143
dc.date.accessioned	2020-12-17T04:40:22Z
dc.date.available	2020-12-17T04:40:22Z
dc.identifier.uri	http://hdl.handle.net/10453/144804
dc.description.abstract	We show that the geodesic growth function of any finitely generated virtually abelian group is either polynomial or exponential; and that the geodesic growth series is holonomic, and rational in the polynomial growth case. In addition, we show that the language of geodesics is blind multicounter.
dc.language	en
dc.rights	info:eu-repo/semantics/closedAccess
dc.title	Geodesic growth in virtually abelian groups
dc.type	Journal Article
pubs.organisational-group	/University of Technology Sydney/Faculty of Science
pubs.organisational-group	/University of Technology Sydney
utslib.copyright.status	closed_access	*
dc.date.updated	2020-12-17T04:40:16Z

Abstract:

We show that the geodesic growth function of any finitely generated virtually abelian group is either polynomial or exponential; and that the geodesic growth series is holonomic, and rational in the polynomial growth case. In addition, we show that the language of geodesics is blind multicounter.

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http://hdl.handle.net/10453/144804