Abstract
If is a nontrivial automorphism of a thick building of purely infinite type, we prove that there is no bound on the distance that moves a chamber. This has the following group-theoretic consequence: If is a group of automorphisms of with bounded quotient, then the center of is trivial.
Citation
Peter Abramenko. Kenneth S. Brown. "Automorphisms of non-spherical buildings have unbounded displacement." Innov. Incidence Geom. 10 1 - 13, 2009. https://doi.org/10.2140/iig.2009.10.1
Information