Vol. 10, No. 1, 2009

Download this article
Download this article For screen
For printing
Recent Issues
Volume 18
Volume 16
Volume 15
Volume 14
Volume 13
Volume 12
Volume 11
Volume 10
Volume 9
Volume 8
Volume 6+7
Volume 5
Volume 4
Volume 3
Volume 2
Volume 1
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 2640-7345
ISSN (print): 2640-7337
Author Index
To Appear
 
Other MSP Journals
Automorphisms of non-spherical buildings have unbounded displacement

Peter Abramenko and Ken S. Brown

Vol. 10 (2009), No. 1, 1–13
Abstract

If ϕ is a nontrivial automorphism of a thick building Δ of purely infinite type, we prove that there is no bound on the distance that ϕ moves a chamber. This has the following group-theoretic consequence: If G is a group of automorphisms of Δ with bounded quotient, then the center of G is trivial.

Keywords
building, automorphism, displacement, center
Mathematical Subject Classification 2000
Primary: 20E42, 51E24
Milestones
Received: 5 October 2007
Accepted: 20 February 2008
Authors
Peter Abramenko
Ken S. Brown