Assuad-Nagata dimension of nilpotent groups with arbitrary left invariant metrics

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dc.creatorHiges, J.
dc.date2008-04-29
dc.date.accessioned2026-07-07T09:35:49Z
dc.date.available2026-07-07T09:35:49Z
dc.descriptionSuppose $G$ is a countable, not necessarily finitely generated, group. We show $G$ admits a proper, left-invariant metric $d_G$ such that the Assouad-Nagata dimension of $(G,d_G)$ is infinite, provided the center of $G$ is not locally finite. As a corollary we solve two problems of A.Dranishnikov.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0804.4533
dc.identifierhttp://arxiv.org/abs/0804.4533
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159957
dc.subjectMetric Geometry
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject54F45 (Primary); 55M10, 54C65 (Secondary)
dc.titleAssuad-Nagata dimension of nilpotent groups with arbitrary left invariant metrics
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