Hyperbolic hyperbolic-by-cyclic groups are cubulable

被引：0

作者：

Dahmani, Francois ^{[1
,2
]}

Satish, Suraj krishna meda ^{[3
]}

Mutanguha, Jean pierre ^{[4
]}

机构：

[1] Univ Montreal, CNRS, IRL CRM, Montreal, PQ, Canada

[2] Univ Grenoble Alpes, Inst Fourier, Lab Math, Grenoble, France

[3] Ashoka Univ, Dept Math, Sonipat, Haryana, India

[4] Princeton Univ, Dept Math, Princeton, NJ USA

来源：

GEOMETRY & TOPOLOGY | 2025年 / 29卷 / 01期

关键词：

AUTOMORPHISMS; BOUNDARY;

D O I：

10.2140/gt.2025.29.259

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the mapping torus of a hyperbolic group by a hyperbolic automorphism is cubulable. Alongthe way, we give an alternate proof of Hagen and Wise's theorem that hyperbolic free-by-cyclic groups arecubulable, and extend to the case with torsion Brinkmann's thesis that a torsion-free hyperbolic-by-cyclicgroup is hyperbolic if and only if it does not containZ2-subgroups.

引用

页数：11

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