Translation lengths in Out(F_n)

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dc.creatorAlibegovic, Emina
dc.date2000-09-20
dc.date2000-10-03
dc.date.accessioned2026-07-07T06:34:07Z
dc.date.available2026-07-07T06:34:07Z
dc.descriptionWe prove that all elements of infinite order in $Out(F_n)$ have positive translation lengths; moreover, they are bounded away from zero. Consequences include a new proof that solvable subgroups of $Out(F_n)$ are finitely generated and virtually abelian and the new result that such subgroups are quasi-convex.
dc.descriptionCorrected typos
dc.identifierhttps://arxiv.org/abs/math/0009191
dc.identifierhttp://arxiv.org/abs/math/0009191
dc.identifierGeometriae Dedicata 92:87-93, 2002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99419
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject57M07, 20F28
dc.titleTranslation lengths in Out(F_n)
dc.typetext

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