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arxiv: 1404.4626 · v1 · pith:6634ERITnew · submitted 2014-04-17 · 🧮 math.GR · math.GT

A short proof of Handel and Mosher's alternative for subgroups of Out(F_N)

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keywords textfinitelygeneratedhandelmosherproofshortsubgroups
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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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