NO QUASI-ISOMETRIC RIGIDITY FOR PROPER ACTIONS ON CAT(0) CUBE COMPLEXES

被引：0
|
作者：
Fournier-facio, Francesco [1 ]
Genevois, Anthony [2 ]
机构：
[1] Swiss Fed Inst Technol, Dept Math, Zurich, Switzerland
[2] Inst Montpellierain Alexander Grothendieck, Montpellier, France
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 12期
关键词：
ONE-RELATOR GROUPS; BOUNDED COHOMOLOGY; EXTENSIONS; SUBGROUPS;
D O I：
10.1090/proc/16544
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We exhibit a variety of groups that act properly and even cocompactly on median graphs (a.k.a. one-skeletons of CAT(0) cube complexes), with quasi-isometric groups that do not admit any proper action on a median graph. This answers a question of Niblo, Sageev and Wise. Our examples are all quasi-isometrically trivial central extensions of certain cubulated groups.
引用
收藏
页码：5097 / 5109
页数：13
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