Groups, Geometry, and Dynamics
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Published online: 2016-06-09
A short proof of Handel and Mosher's alternative for subgroups of Out$(F_N)$Camille Horbez (1) Université Paris-Sud, Orsay, France
We give a short proof of a theorem of Handel and Mosher  stating that any finitely generated subgroup of 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 Out$(F_N)$.
Keywords: Out$(F_N)$, subgroup classification
Horbez Camille: A short proof of Handel and Mosher's alternative for subgroups of Out$(F_N)$. Groups Geom. Dyn. 10 (2016), 709-721. doi: 10.4171/GGD/361