Boundaries of \(\text{CAT}(0)\) groups of the form \(\Gamma=G\times H\)
type: Item
instance of: scholarly article
title: Boundaries of \(\text{CAT}(0)\) groups of the form \(\Gamma=G\times H\)
zbMATH Open document ID: 0941.20047
DOI: 10.1016/S0166-8641(97)00236-8
author: Kim Ruane
published in: Topology and its Applications
publication date: 2000-08-01T00:00:00Z
review text: Boundaries of groups which admit a geometric action on CAT(0) spaces are not yet well-defined because the homeomorphism question of Gromov's has not been answered. In this paper this question, as well as the Tits metric question is answered affirmatively for CAT(0) groups of the form \(G\times H\) when both factors are nonelementary word hyperbolic groups.
Mathematics Subject Classification ID: 20F67
Mathematics Subject Classification ID: 20F65
Mathematics Subject Classification ID: 20H15
Mathematics Subject Classification ID: 53C23
Mathematics Subject Classification ID: 20F38
zbMATH DE Number: 1307878
zbMATH Keywords: boundaries of groups
zbMATH Keywords: geometric actions
zbMATH Keywords: CAT(0) spaces
zbMATH Keywords: Tits metric
zbMATH Keywords: CAT(0) groups
zbMATH Keywords: word hyperbolic groups
reviewed by: Milica Stojanović
MaRDI profile type: Publication
cites work: Q5817096
cites work: Manifolds of nonpositive curvature
cites work: Fixed points in boundaries of negatively curved groups
cites work: Boundaries of nonpositively curved groups of the form G × ℤn
cites work: Q4720067
cites work: Some relations between the metric structure and the algebraic structure of the fundamental group in manifolds of nonpositive curvature
cites work: Q4865841
cites work: Some geometric groups with rapid decay
description: scientific article; zbMATH DE number 1307878