Corrigendum: "Spectral rigidity of automorphic orbits in free groups"

被引:0
|
作者
Carette, Mathieu [1 ]
Francaviglia, Stefano [2 ]
Kapovich, Ilya [3 ]
Martino, Armando [4 ]
机构
[1] Inst Rech Math & Phys, Fac Sci, B-1348 Louvain, Belgium
[2] Univ Bologna, Dipartimento Matemat, I-40126 Bologna, Italy
[3] Univ Illinois, Dept Math, Urbana, IL 61801 USA
[4] Univ Southampton, Sch Math, Southampton SO17 1BJ, Hants, England
来源
ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2014年 / 14卷 / 05期
基金
美国国家科学基金会;
关键词
LAMINATIONS; CURRENTS; COMPLEX;
D O I
10.2140/agt.2014.14.3081
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Lemma 5.1 in our paper [5] 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 [5]. Our proof of Lemma 5.1 in [5] relied on a subgroup classification result of Handel and Mosher [8], originally stated in [8] for arbitrary subgroups H <= Out(F-N). It subsequently turned out (see Handel and Mosher [9, page 1]) that the proof of the Handel-Mosher theorem needs the assumption that H is finitely generated. Here we provide an alternative proof of Lemma 5.1 from [5], 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 and Reynolds).
引用
收藏
页码:3081 / 3088
页数:8
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