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
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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).
Classification :
20-XX
Mots-clés : Out(FN), subgroup classification
Mots-clés : Out(FN), subgroup classification
Affiliations des auteurs :
Camille Horbez  1
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/}
}
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