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Comptes Rendus Mathématique
Volume 352, n° 11
pages 885-887 (novembre 2014)
Doi : 10.1016/j.crma.2014.09.007
Received : 18 May 2014 ;  accepted : 11 September 2014
Unbounded asymmetry of stretch factors
Asymétrie non bornée des facteurs d'étirement
 

Spencer Dowdall , Ilya Kapovich , Christopher J. Leininger
 Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, IL 61801, United States 

Abstract

A result of Handel–Mosher guarantees that the ratio of logarithms of stretch factors of any fully irreducible automorphism of the free group   and its inverse is bounded by a constant  . In this short note, we show that this constant   cannot be chosen independent of the rank N .

The full text of this article is available in PDF format.
Résumé

Un énoncé de Handel–Mosher certifie que le rapport des logarithmes des facteurs d'étirement d'un automorphisme iréductible du groupe libre   et de son inverse est borné par une constante  . Nous montrons dans la présente courte note que cette constante   ne peut pas être choisie indépendante de N .

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