Controlled embeddings into groups that have no non-trivial finite quotients

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dc.creatorBridson, Martin R.
dc.date1998-10-25
dc.date.accessioned2026-07-07T05:26:40Z
dc.date.available2026-07-07T05:26:40Z
dc.descriptionIf a class of finitely generated groups Curly(G) is closed under isometric amalgamations along free subgroups, then every G in Curly(G) can be quasi-isometrically embedded in a group Hat(G) in Curly(G) that has no proper subgroups of finite index. Every compact, connected, non-positively curved space X admits an isometric embedding into a compact, connected, non-positively curved space Overline(X) such that Overline(X) has no non-trivial finite-sheeted coverings.
dc.description18 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon1/paper4.abs.html
dc.identifierhttps://arxiv.org/abs/math/9810188
dc.identifierhttp://arxiv.org/abs/math/9810188
dc.identifierGeom. Topol. Monogr. 1 (1998), 99-116
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77634
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject20E26, 20E06, 53C70, 20F32, 20F06
dc.titleControlled embeddings into groups that have no non-trivial finite quotients
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