Carette, Mathieu
[UCL]
Francaviglia, Stefano
[University of Bologna]
Kapovich, Ilya
[University of Illinois at Urbana-Champaign]
Martino, Armando
[University of Southampton]
Lemma 5.1 in our paper [6] says that every infinite normal subgroup of Out(F_N) contains a fully irreducible element; this lemma was substantively used in the proof of the main result, Theorem A in [6]. Our proof of Lemma 5.1 in [6] relied on a subgroup classification result of Handel-Mosher [9], originally stated in [9] for arbitrary subgroups H≤Out(F_N). It subsequently turned out (see p. 1 in [10]) that the proof of the Handel-Mosher theorem needs the assumption that H be finitely generated. Here we provide an alternative proof of Lemma 5.1 from [6], which uses the corrected version of the Handel-Mosher theorem and relies on the 0-acylindricity of the action of Out(F_N) on the free factor complex (due to Bestvina-Mann-Reynolds).
Bibliographic reference |
Carette, Mathieu ; Francaviglia, Stefano ; Kapovich, Ilya ; Martino, Armando. Corrigendum to "Spectral rigidity of automorphic orbits in free groups". In: Algebraic & Geometric Topology, |
Permanent URL |
http://hdl.handle.net/2078.1/138966 |