Free group automorphisms with many fixed points at infinity

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dc.creatorJaeger, Andre
dc.creatorLustig, Martin
dc.date2009-04-09
dc.date.accessioned2026-07-07T13:01:58Z
dc.date.available2026-07-07T13:01:58Z
dc.descriptionA concrete family of automorphisms alpha_n of the free group F_n is exhibited, for any n > 2, and the following properties are proved: alpha_n is irreducible with irreducible powers, has trivial fixed subgroup, and has 2n-1 attractive as well as 2n repelling fixed points at bdry F_n. As a consequence of a recent result of V Guirardel there can not be more fixed points on bdry F_n, so that this family provides the answer to a question posed by G Levitt.
dc.descriptionThis is the version published by Geometry & Topology Monographs on 29 April 2008
dc.identifierhttps://arxiv.org/abs/0904.1533
dc.identifierhttp://arxiv.org/abs/0904.1533
dc.identifierGeom. Topol. Monogr. 14 (2008) 321-333
dc.identifierdoi:10.2140/gtm.2008.14.321
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226329
dc.subjectGroup Theory
dc.subject20E36, 57M05
dc.titleFree group automorphisms with many fixed points at infinity
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