Volume 8, issue 3 (2008)

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

Volume 20
Issue 5, 2145–2685
Issue 4, 1601–2143
Issue 3, 1073–1600
Issue 2, 531–1072
Issue 1, 1–529

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
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
On asymptotic dimension of amalgamated products and right-angled Coxeter groups

Alexander Dranishnikov

Algebraic & Geometric Topology 8 (2008) 1281–1293
Abstract

We prove that the asymptotic dimension of A and B amalgamated over C is bounded above by the maximum of the asymptotic dimensions of A, B and C + 1. Then we apply this inequality to show that the asymptotic dimension of any right-angled Coxeter group does not exceed the dimension of its Davis complex.

Keywords
asymptotic dimension, amalgamated product, Coxeter group
Mathematical Subject Classification 2000
Primary: 20F65, 20F55, 20F69
References
Publication
Received: 17 May 2007
Revised: 13 February 2008
Accepted: 13 February 2008
Published: 8 August 2008
Authors
Alexander Dranishnikov
University of Florida
Department of Mathematics
PO Box 118105
358 Little Hall
Gainesville, FL 32611-8105
USA
http://www.math.ufl.edu/~dranish