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Article Dans Une Revue Groups, Geometry, and Dynamics Année : 2016

A short proof of Handel and Mosher's alternative for subgroups of $\text{Out}(F_N)$

Résumé

We give a short proof of a theorem of Handel and Mosher stating that any finitely generated subgroup of $\text{Out}(F_N)$ either contains a fully irreducible automorphism, or virtually fixes the conjugacy class of a proper free factor of $F_N$, and we extend their result to non finitely generated subgroups of $\text{Out}(F_N)$.

Dates et versions

hal-00981756 , version 1 (22-04-2014)

Identifiants

Citer

Camille Horbez. A short proof of Handel and Mosher's alternative for subgroups of $\text{Out}(F_N)$. Groups, Geometry, and Dynamics, 2016, 10 (2), pp.709-721. ⟨10.4171/GGD/361⟩. ⟨hal-00981756⟩
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