Automorphisms of non-spherical buildings have unbounded displacement
Peter Abramenko, Kenneth S. Brown · arXiv (Cornell University) · 2007
If f is a nontrivial automorphism of a thick building Delta of purely infinite type, we prove that there is no bound on the distance that f moves a chamber. This has the following group-theoretic consequence: If G is a group of automorphisms of Delta with bounded quotient, then the center of G is trivial.