On asymptotic dimension of amalgamated products and right-angled Coxeter groups

Dranishnikov, Alexander N¹

¹University of Florida, Department of Mathematics, PO Box 118105, 358 Little Hall, Gainesville, FL 32611-8105, USA

Algebraic and Geometric Topology, Tome 8 (2008) no. 3, pp. 1281-1293

Résumé

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.

Détail

DOI : 10.2140/agt.2008.8.1281

Keywords: asymptotic dimension, amalgamated product, Coxeter group

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