Vol. 10, No. 1, 2009

Download this article
Download this article For screen
For printing
Recent Issues
Volume 17, Issue 2
Volume 17, Issue 1
Volume 16, Issue 1
Volume 15, Issue 1
Volume 14, Issue 1
Volume 13, Issue 1
Volume 12, Issue 1
Volume 11, Issue 1
Volume 10, Issue 1
Volume 9, Issue 1
Volume 8, Issue 1
Volume 6+7, Issue 1
Volume 5, Issue 1
Volume 4, Issue 1
Volume 3, Issue 1
Volume 2, Issue 1
Volume 1, Issue 1
The Journal
About the Journal
Subscriptions
Editorial Board
Submission Guidelines
Submission Form
Ethics Statement
To Appear
Editorial Login
Contacts
ISSN (electronic): 2640-7345
ISSN (print): 2640-7337
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