Comptes Rendus
no. 11
Group theory/Topology
Unbounded asymmetry of stretch factors
[Asymétrie non bornée des facteurs d'étirement]

Présenté par : the Editorial Board

Spencer Dowdall1 ; Ilya Kapovich1 ; Christopher J. Leininger1
1 Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, IL 61801, United States
Comptes Rendus. Mathématique, Volume 352 (2014) no. 11, pp. 885-887.

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

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

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2014.09.007

Spencer Dowdall 1 ; Ilya Kapovich 1 ; Christopher J. Leininger 1

1 Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, IL 61801, United States 
@article{CRMATH_2014__352_11_885_0,
     author = {Spencer Dowdall and Ilya Kapovich and Christopher J. Leininger},
     title = {Unbounded asymmetry of stretch factors},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {885--887},
     publisher = {Elsevier},
     volume = {352},
     number = {11},
     year = {2014},
     doi = {10.1016/j.crma.2014.09.007},
     language = {en},
}
TY  - JOUR
AU  - Spencer Dowdall
AU  - Ilya Kapovich
AU  - Christopher J. Leininger
TI  - Unbounded asymmetry of stretch factors
JO  - Comptes Rendus. Mathématique
PY  - 2014
SP  - 885
EP  - 887
VL  - 352
IS  - 11
PB  - Elsevier
DO  - 10.1016/j.crma.2014.09.007
LA  - en
ID  - CRMATH_2014__352_11_885_0
ER  - 
%0 Journal Article
%A Spencer Dowdall
%A Ilya Kapovich
%A Christopher J. Leininger
%T Unbounded asymmetry of stretch factors
%J Comptes Rendus. Mathématique
%D 2014
%P 885-887
%V 352
%N 11
%I Elsevier
%R 10.1016/j.crma.2014.09.007
%G en
%F CRMATH_2014__352_11_885_0
Spencer Dowdall; Ilya Kapovich; Christopher J. Leininger. Unbounded asymmetry of stretch factors. Comptes Rendus. Mathématique, Volume 352 (2014) no. 11, pp. 885-887. doi : 10.1016/j.crma.2014.09.007. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.09.007/

[1] Y. Algom-Kfir; M. Bestvina Asymmetry of outer space, Geom. Dedicata, Volume 156 (2012), pp. 81-92

[2] M. Bestvina; M. Handel Train tracks and automorphisms of free groups, Ann. of Math. (2), Volume 135 (1992) no. 1, pp. 1-51

[3] R. Bieri; W.D. Neumann; R. Strebel A geometric invariant of discrete groups, Invent. Math., Volume 90 (1987) no. 3, pp. 451-477

[4] S. Dowdall; I. Kapovich; C.J. Leininger Dynamics on free-by-cyclic-groups, 2013 (preprint) | arXiv

[5] S. Dowdall; I. Kapovich; C.J. Leininger McMullen polynomials and Lipschitz flows for free-by-cyclic groups, 2013 (preprint) | arXiv

[6] M. Handel; L. Mosher The expansion factors of an outer automorphism and its inverse, Trans. Amer. Math. Soc., Volume 359 (2007) no. 7, pp. 3185-3208 (electronic)

[7] M. Handel; L. Mosher Parageometric outer automorphisms of free groups, Trans. Amer. Math. Soc., Volume 359 (2007) no. 7, pp. 3153-3183 (electronic)

Cité par Sources :

Commentaires - Politique