Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Geodesic currents and length compactness for automorphisms of free groups


Author: Stefano Francaviglia
Journal: Trans. Amer. Math. Soc. 361 (2009), 161-176
MSC (2000): Primary 20F65
Published electronically: August 13, 2008
MathSciNet review: 2439402
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We prove a compactness theorem for automorphisms of free groups. Namely, we show that the set of automorphisms keeping the length of the uniform current bounded is compact (up to conjugation). This implies that the spectrum of the length of the images of the uniform current is discrete, proving a conjecture of I. Kapovich.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 20F65

Retrieve articles in all journals with MSC (2000): 20F65


Additional Information

Stefano Francaviglia
Affiliation: Departament de Matemàtiques, Edifici C, Universitat Autònoma, 08193 Bellaterra (Barcelona) Spain
Email: s.francaviglia@sns.it

DOI: http://dx.doi.org/10.1090/S0002-9947-08-04420-6
PII: S 0002-9947(08)04420-6
Keywords: Automorphisms, free groups, geodesic currents
Received by editor(s): May 22, 2006
Received by editor(s) in revised form: October 25, 2006
Published electronically: August 13, 2008
Additional Notes: The author was supported by a Marie Curie Intra European Fellowship.
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.