Automorphisms of non-spherical buildings have unbounded displacement
Group Theory
2007-10-09 v1
Abstract
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.
Cite
@article{arxiv.0710.1426,
title = {Automorphisms of non-spherical buildings have unbounded displacement},
author = {Peter Abramenko and Kenneth S. Brown},
journal= {arXiv preprint arXiv:0710.1426},
year = {2007}
}
Comments
8 pages