Boundaries of Coxeter groups and simplicial complexes with given links
type: Item
instance of: scholarly article
title: Boundaries of Coxeter groups and simplicial complexes with given links
zbMATH Open document ID: 0946.20020
DOI: 10.1016/S0022-4049(97)00202-8
published in: Journal of Pure and Applied Algebra
publication date: 1999-08-16T00:00:00Z
review text: The author constructs hyperbolic Coxeter groups with boundaries homeomorphic to Pontryagin surfaces. For any given finite simplicial complex \(L\) the author constructs a finite simplicial complex \(K\) such that the link of every vertex of \(K\) is homeomorphic to \(L\). He also gives an effective action of the \(p\)-adic integers on boundaries of certain Coxeter groups.
reviewed by: Chen Chengdong
Mathematics Subject Classification ID: 20F55
Mathematics Subject Classification ID: 20F67
Mathematics Subject Classification ID: 20H15
Mathematics Subject Classification ID: 57M07
zbMATH DE Number: 1308328
zbMATH Keywords: boundaries of Coxeter groups
zbMATH Keywords: simplicial complexes with given links
zbMATH Keywords: hyperbolic Coxeter groups
author: Alexander Dranishnikov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1308328