Volume 9, issue 4 (2009)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 24
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Thompson's group $F$ and uniformly finite homology

Daniel Staley

Algebraic & Geometric Topology 9 (2009) 2349–2360
Abstract

We use the uniformly finite homology developed by Block and Weinberger to study the geometry of the Cayley graph of Thompson’s group F. In particular, a certain class of subgraph of F is shown to be nonamenable (in the Følner sense). This shows that if the Cayley graph of F is amenable, these subsets, which include every finitely generated submonoid of the positive monoid of F, must necessarily have measure zero.

Keywords
Thompson's group F, uniformly finite homology, amenability
Mathematical Subject Classification 2010
Primary: 20F65, 05C25
Secondary: 43A07
References
Publication
Received: 3 July 2008
Revised: 1 September 2009
Accepted: 27 September 2009
Published: 31 October 2009
Authors
Daniel Staley
Department of Mathematics
Rutgers University
110 Frelinghuysen Road
Piscataway NJ 08854-8019
USA
http://math.rutgers.edu/~staley