Growth exponent of generic groups

dc.creatorOllivier, Yann
dc.date2004-01-06
dc.date2004-04-19
dc.date.accessioned2026-07-07T05:04:24Z
dc.date.available2026-07-07T05:04:24Z
dc.descriptionGrigorchuk and de la Harpe asked if there are many groups with growth exponent close to that of the free group with the same number of generators. We prove that this is in fact the case for a generic group (in the density model of random groups). More generally, we prove that the growth exponent does not change much through a random quotient of a torsion-free hyperbolic group.
dc.description2nd version (full redaction): 24 pages
dc.identifierhttps://arxiv.org/abs/math/0401050
dc.identifierhttp://arxiv.org/abs/math/0401050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69787
dc.subjectGroup Theory
dc.subject20P05; 20F69; 20F06
dc.titleGrowth exponent of generic groups
dc.typetext

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