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A short proof of Handel and Mosher's alternative for subgroups of $\text{Out}(F_N)$ (1404.4626v1)

Published 17 Apr 2014 in math.GR and math.GT

Abstract: 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 $\text{Out}(F_N)$.

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