The Center Conjecture for thick spherical buildings
arXiv:0909.2761 · doi:10.1007/s10711-012-9799-9
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 Mühlherr-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.
v2: 61 pages. References added. Case of buildings of type E6 added