Codistances of 3-spherical buildings
type: Item
instance of: scholarly article
title: Codistances of 3-spherical buildings
zbMATH Open document ID: 1259.51005
author: Alice Devillers
author: Bernhard Mühlherr
author: Hendrik Van Maldeghem
published in: Mathematische Annalen
publication date: 2012-09-19T00:00:00Z
full work available at URL: https://arxiv.org/abs/0807.2781
full work available at URL: LU-3132673
review text: Let \(\mathcal B\) be a building such that each rank 2 residue is connected far away from a chamber, and each rank 3 residue is spherical and simply 2-connected far away from a chamber; these assumptions hold if the diagram of the building \(\mathcal B\) is simply laced and each panel contains at least 4 chambers. If \(\mathcal B\) admits a codistance (i.e.\ a twinning with a single chamber), then \(\mathcal B\) admits a twinning, which means that \(\mathcal B\) is one half of a twin building.
reviewed by: Theo Grundhöfer
Mathematics Subject Classification ID: 51E24
Mathematics Subject Classification ID: 20E42
zbMATH DE Number: 6084003
zbMATH Keywords: building
zbMATH Keywords: twin building
zbMATH Keywords: twinning
MaRDI profile type: Publication
OpenAlex ID: W2064341325
arXiv ID: 0807.2781
cites work: Twin buildings and applications to \(S\)-arithmetic groups
cites work: Buildings
cites work: Embeddings of twin trees
cites work: Q4276276
cites work: On the simple connectedness of certain subsets of buildings
cites work: Gated sets in metric spaces
cites work: Q3998721
cites work: Q4276296
cites work: A rank 2 characterization of twinnings
cites work: Locally split and locally finite twin buildings of 2-spherical type
cites work: Codistances in buildings
cites work: Q4692803
cites work: Building buildings
cites work: Twin trees. II: Local structure and a universal construction
cites work: Buildings of spherical type and finite BN-pairs
cites work: Q3029191
cites work: Q5289098
DOI: 10.1007/S00208-011-0733-5
description: scientific article; zbMATH DE number 6084003