arXiv Analytics

Sign in

arXiv:math/0602555 [math.GR]AbstractReferencesReviewsResources

Geodesic currents and length compactness for automorphisms of free groups

Stefano Francaviglia

Published 2006-02-24, updated 2007-12-05Version 2

We 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.

Comments: Changes from v1: the proof of main theorem is a little different; added a section with generalisations. This is the version accepted for pubblication
Journal: Trans. of AMS 361(1) 2009, 161-176
Categories: math.GR
Subjects: 20F36, 20E36
Related articles: Most relevant | Search more
arXiv:1703.09945 [math.GR] (Published 2017-03-29)
On the connectivity of level sets of automorphisms of free groups, with applications to decision problems
arXiv:math/0412128 [math.GR] (Published 2004-12-07, updated 2005-09-19)
Currents on free groups
arXiv:1403.2786 [math.GR] (Published 2014-03-12)
On quasioutomorphism groups of free groups and their transitivity properties

Links

Toolbox