Volume 8, issue 3 (2008)

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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