Isometries of wall-connected twin buildings
Group Theory
2023-04-03 v1
Abstract
We introduce the notion of a wall-connected twin building and show that the local-to-global principle holds for these twin buildings. As each twin building satisfying Condition (co) (introduced in [7]) is wall-connected, we obtain a strengthening of the main result of [7] that covers also the thick irreducible affne twin buildings of rank at least 3.
Keywords
Cite
@article{arxiv.2303.18041,
title = {Isometries of wall-connected twin buildings},
author = {Sebastian Bischof and Bernhard Mühlherr},
journal= {arXiv preprint arXiv:2303.18041},
year = {2023}
}
Comments
20 pages, preliminary version, to appear in "Advances in Geometry"