Assouad-Nagata dimension of wreath products of groups

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dc.creatorBrodskiy, N.
dc.creatorDydak, J.
dc.creatorLang, U.
dc.date2006-11-11
dc.date2006-11-19
dc.date.accessioned2026-07-07T07:32:47Z
dc.date.available2026-07-07T07:32:47Z
dc.descriptionConsider the wreath product $H\wr G$, where $H\ne 1$ is finite and $G$ is finitely generated. We show that the Assouad-Nagata dimension $\dim_{AN}(H\wr G)$ of $H\wr G$ depends on the growth of $G$ as follows: If the growth of $G$ is not bounded by a linear function, then $\dim_{AN}(H\wr G)=\infty$, otherwise $\dim_{AN}(H\wr G)=\dim_{AN}(G)\leq 1$.
dc.description11 pages, new references added
dc.identifierhttps://arxiv.org/abs/math/0611331
dc.identifierhttp://arxiv.org/abs/math/0611331
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119232
dc.subjectMetric Geometry
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.titleAssouad-Nagata dimension of wreath products of groups
dc.typetext

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