Corrigendum: "Spectral rigidity of automorphic orbits in free groups"
被引:0
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作者:
Carette, Mathieu
论文数: 0引用数: 0
h-index: 0
机构:
Inst Rech Math & Phys, Fac Sci, B-1348 Louvain, BelgiumInst Rech Math & Phys, Fac Sci, B-1348 Louvain, Belgium
Carette, Mathieu
[1
]
Francaviglia, Stefano
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h-index: 0
机构:
Univ Bologna, Dipartimento Matemat, I-40126 Bologna, ItalyInst Rech Math & Phys, Fac Sci, B-1348 Louvain, Belgium
Francaviglia, Stefano
[2
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Kapovich, Ilya
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h-index: 0
机构:
Univ Illinois, Dept Math, Urbana, IL 61801 USAInst Rech Math & Phys, Fac Sci, B-1348 Louvain, Belgium
Kapovich, Ilya
[3
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Martino, Armando
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h-index: 0
机构:
Univ Southampton, Sch Math, Southampton SO17 1BJ, Hants, EnglandInst Rech Math & Phys, Fac Sci, B-1348 Louvain, Belgium
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
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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).