A strong Schottky lemma on $n$ generators for $\mathrm{CAT}(0)$ spaces

Conder, Matthew J; Schillewaert, Jeroen

dc.contributor.author	Conder, Matthew J
dc.contributor.author	Schillewaert, Jeroen
dc.date.accessioned	2022-05-03T02:35:04Z
dc.date.available	2022-05-03T02:35:04Z
dc.date.issued	2021-3-29
dc.identifier.citation	Arxiv, 29 Mar 2021
dc.identifier.uri	https://hdl.handle.net/2292/58869
dc.description.abstract	We give a criterion for a set of $n$ hyperbolic isometries of a $\mathrm{CAT}(0)$ metric space $X$ to generate a free group on $n$ generators. This extends a result by Alperin, Farb and Noskov who proved this for 2 generators under the additional assumption that $X$ is complete and has no fake zero angles. Moreover, when $X$ is locally compact, the group we obtain is also discrete.
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dc.rights.uri	https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/
dc.subject	math.GR
dc.subject	math.GR
dc.subject	math.GT
dc.subject	math.MG
dc.subject	20F65
dc.title	A strong Schottky lemma on $n$ generators for $\mathrm{CAT}(0)$ spaces
dc.type	Journal Article
dc.date.updated	2022-04-04T02:01:03Z
dc.rights.holder	Copyright: The author	en
pubs.author-url	http://arxiv.org/abs/2103.15257v2
dc.rights.accessrights	http://purl.org/eprint/accessRights/OpenAccess	en
pubs.elements-id	845484