Bounded geometry in relatively hyperbolic groups

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dc.creatorDahmani, F.
dc.creatorYaman, A.
dc.date2004-11-19
dc.date2005-01-31
dc.date.accessioned2026-07-07T06:24:24Z
dc.date.available2026-07-07T06:24:24Z
dc.descriptionWe prove that, if a group is relatively hyperbolic, the parabolic subgroups are virtually nilpotent if and only if there exists a hyperbolic space with bounded geometry on which it acts geometrically finitely. This provides, by use of M. Bonk and O. Schramm embedding theorem, a very short proof of the finiteness of asymptotic dimension of relatively hyperbolic groups with virtually nilpotent parabolic subgroups (which is known to imply Novikov conjectures
dc.identifierhttps://arxiv.org/abs/math/0411435
dc.identifierhttp://arxiv.org/abs/math/0411435
dc.identifierNew York J. Math. 11 (2005), pp. 89--95.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96527
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject20F67, 20F69
dc.titleBounded geometry in relatively hyperbolic groups
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