Walls in Coxeter complexes
type: Item
instance of: scholarly article
title: Walls in Coxeter complexes
zbMATH Open document ID: 0799.20036
DOI: 10.1007/BF01263535
published in: Geometriae Dedicata
publication date: 1994-11-21T00:00:00Z
review text: The author addresses the problem of which walls in a Coxeter complex are themselves Coxeter complexes. In the case of finite complexes, a complete answer is given. More generally, a sufficient condition is given; it depends on the entries in the Coxeter matrix of the complex (basically, for the \(i\)-th wall, all entries \(m_{ij}\) are even).
Mathematics Subject Classification ID: 20F55
Mathematics Subject Classification ID: 51E24
Mathematics Subject Classification ID: 05B25
zbMATH DE Number: 553939
zbMATH Keywords: Coxeter group
zbMATH Keywords: wall
zbMATH Keywords: finite Coxeter complexes
zbMATH Keywords: Coxeter matrix
author: Peter Abramenko
reviewed by: Peter McMullen
MaRDI profile type: Publication
cites work: Q5580319
cites work: Gated sets in metric spaces
cites work: Q3701635
cites work: Q4692803
cites work: A structure theorem for weak buildings of spherical type
cites work: Buildings of spherical type and finite BN-pairs
description: scientific article; zbMATH DE number 553939