The Center Conjecture for thick spherical buildings
Metric Geometry
2013-09-17 v2
Abstract
In this paper we show that a convex subcomplex of a spherical building of type E6, E7 or E8 is a subbuilding or the automorphisms of the subcomplex fix a point on it. Together with previous results of M\"uhlherr-Tits, and Leeb and the author, this completes the proof of Tits' Center Conjecture for spherical buildings without factors of type H4, in particular, for thick spherical buildings.
Cite
@article{arxiv.0909.2761,
title = {The Center Conjecture for thick spherical buildings},
author = {Carlos Ramos-Cuevas},
journal= {arXiv preprint arXiv:0909.2761},
year = {2013}
}
Comments
v2: 61 pages. References added. Case of buildings of type E6 added