Hyperbolic groups acting improperly

被引：8

作者：

Groves, Daniel ^{[1
]}

Manning, Jason Fox ^{[1
,2
]}

机构：

[1] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA

[2] Cornell Univ, Dept Math, Ithaca, NY USA

来源：

GEOMETRY & TOPOLOGY | 2023年 / 27卷 / 09期

基金：

美国国家科学基金会;

关键词：

RELATIVE HYPERBOLICITY; FINITENESS; SUBGROUPS; SURFACES; FILLINGS;

D O I：

10.2140/gt.2023.27.3387

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study hyperbolic groups acting on CAT(0) cube complexes. The first main result is a structural result about the Sageev construction, in which we relate quasiconvexity of hyperplane stabilizers with quasiconvexity of cell stabilizers. The second main result generalizes both Agol's Theorem on cubulated hyperbolic groups and Wise's Quasiconvex Hierarchy Theorem.

引用

页码：3387 / 3460

页数：76

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