Codistances of 3-spherical buildings
Group Theory
2011-03-30 v3 Combinatorics
Abstract
We show that a 3-spherical building in which each rank 2 residue is connected far away from a chamber, and each rank 3 residue is simply 2-connected far away from a chamber, admits a twinning (i.e., is one half of a twin building) as soon as it admits a codistance, i.e., a twinning with a single chamber.
Cite
@article{arxiv.0807.2781,
title = {Codistances of 3-spherical buildings},
author = {Alice Devillers and Bernhard Mühlherr and Hendrik Van Maldeghem},
journal= {arXiv preprint arXiv:0807.2781},
year = {2011}
}
Comments
35 pages; revised after a referee's comments