Globally stable cylinders for hyperbolic CAT(0) cube complexes

被引：0

作者：

Lazarovich, Nir ^{[1
]}

Sageev, Michah ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

GROUPS GEOMETRY AND DYNAMICS | 2024年 / 18卷 / 01期

基金：

以色列科学基金会;

关键词：

CAT(0) cube complexes; hyperbolic groups;

D O I：

10.4171/GGD/744

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Rips and Sela (1995) introduced the notion of globally stable cylinders and asked if all Gromov hyperbolic groups admit such. We prove that hyperbolic cubulated groups admit globally stable cylinders.

引用

页码：203 / 211

页数：9

共 50 条

[41] Acylindrical hyperbolicity from actions on CAT(0) cube complexes: a few criteria
Genevois, Anthony
NEW YORK JOURNAL OF MATHEMATICS, 2019, 25 : 1214 - 1239
[42] Tubular Free by Cyclic Groups Act Freely on CAT(0) Cube Complexes
Button, Jack
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2017, 60 (01): : 54 - 62
[43] Contracting isometries of CAT(0) cube complexes and acylindrical hyperbolicity of diagram groups
Genevois, Anthony
ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2020, 20 (01): : 49 - 134
[44] On embeddings of CAT(0) cube complexes into products of trees via colouring their hyperplanes
Chepoi, Victor
Hagen, Mark F.
JOURNAL OF COMBINATORIAL THEORY SERIES B, 2013, 103 (04) : 428 - 467
[45] NO QUASI-ISOMETRIC RIGIDITY FOR PROPER ACTIONS ON CAT(0) CUBE COMPLEXES
Fournier-facio, Francesco
Genevois, Anthony
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 151 (12) : 5097 - 5109
[46] Relatively geometric actions of Kähler groups on CAT(0) cube complexes
Bregman, Corey
Groves, Daniel
Zhu, Kejia
ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2024, 24 (07):
[47] The simplicial boundary of a CAT(0) cube complex
Hagen, Mark F.
ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2013, 13 (03): : 1299 - 1367
[48] CAT(0) AND CAT(-1) FILLINGS OF HYPERBOLIC MANIFOLDS
Fujiwara, Koji
Manning, Jason Fox
JOURNAL OF DIFFERENTIAL GEOMETRY, 2010, 85 (02) : 229 - 269
[49] Hyperbolic models for CAT(0) spaces
Petyt, Harry
Spriano, Davide
Zalloum, Abdul
ADVANCES IN MATHEMATICS, 2024, 450
[50] Cross-ratios on CAT(0) cube complexes and marked length-spectrum rigidity
Beyrer, Jonas
Fioravanti, Elia
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2021, 104 (05): : 1973 - 2015

← 1 2 3 4 5 →