A short proof of Handel and Mosher's alternative for subgroups of Out$(F_N)$
Groups, geometry, and dynamics, Tome 10 (2016) no. 2, pp. 709-721

Voir la notice de l'article provenant de la source EMS Press

DOI

We give a short proof of a theorem of Handel and Mosher [21] stating that any finitely generated subgroup of Out(FN​) either contains a fully irreducible automorphism, or virtually fixes the conjugacy class of a proper free factor of FN​, and we extend their result to non finitely generated subgroups of Out(FN​).
DOI : 10.4171/ggd/361
Classification : 20-XX
Mots-clés : Out(FN​), subgroup classification

Camille Horbez  1

1 Université Paris-Sud, Orsay, France
Camille Horbez. A short proof of Handel and Mosher's alternative for subgroups of Out$(F_N)$. Groups, geometry, and dynamics, Tome 10 (2016) no. 2, pp. 709-721. doi: 10.4171/ggd/361
@article{10_4171_ggd_361,
     author = {Camille Horbez},
     title = {A short proof of {Handel} and {Mosher's} alternative for subgroups of {Out}$(F_N)$},
     journal = {Groups, geometry, and dynamics},
     pages = {709--721},
     year = {2016},
     volume = {10},
     number = {2},
     doi = {10.4171/ggd/361},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/361/}
}
TY  - JOUR
AU  - Camille Horbez
TI  - A short proof of Handel and Mosher's alternative for subgroups of Out$(F_N)$
JO  - Groups, geometry, and dynamics
PY  - 2016
SP  - 709
EP  - 721
VL  - 10
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ggd/361/
DO  - 10.4171/ggd/361
ID  - 10_4171_ggd_361
ER  - 
%0 Journal Article
%A Camille Horbez
%T A short proof of Handel and Mosher's alternative for subgroups of Out$(F_N)$
%J Groups, geometry, and dynamics
%D 2016
%P 709-721
%V 10
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/361/
%R 10.4171/ggd/361
%F 10_4171_ggd_361

Cité par Sources :