Homological dimension and critical exponent of Kleinian groups

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dc.creatorKapovich, Michael
dc.date2007-01-28
dc.date.accessioned2026-07-07T07:43:35Z
dc.date.available2026-07-07T07:43:35Z
dc.descriptionWe prove that the relative homological dimension of a Kleinian group G does not exceed 1 + the critical exponent of G. As an application of this result we show that for a geometrically finite Kleinian group G, if the topological dimension of the limit set of G equals its Hausdorff dimension, then the limit set is a round sphere.
dc.description38 pages
dc.identifierhttps://arxiv.org/abs/math/0701797
dc.identifierhttp://arxiv.org/abs/math/0701797
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122880
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject30F40; 20F67
dc.titleHomological dimension and critical exponent of Kleinian groups
dc.typetext

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