Geodesic currents and length compactness for automorphisms of free groups

Simple item page
dc.creatorFrancaviglia, Stefano
dc.date2006-02-24
dc.date2007-12-05
dc.date.accessioned2026-07-07T10:04:28Z
dc.date.available2026-07-07T10:04:28Z
dc.descriptionWe prove a compactness theorem for automorphisms of free groups. Namely, we show that the set of automorphisms keeping bounded the length of the uniform current is compact (up to conjugation.) This implies that the spectrum of the length of the images of the uniform current is discrete, answering to a conjecture of I. Kapovich.
dc.descriptionChanges from v1: the proof of main theorem is a little different; added a section with generalisations. This is the version accepted for pubblication
dc.identifierhttps://arxiv.org/abs/math/0602555
dc.identifierhttp://arxiv.org/abs/math/0602555
dc.identifierTrans. of AMS 361(1) 2009, 161-176
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169688
dc.subjectGroup Theory
dc.subject20F36; 20E36
dc.titleGeodesic currents and length compactness for automorphisms of free groups
dc.typetext

Files

Collections

arXiv