Abstract
We prove that the asymptotic dimension of and amalgamated over is bounded above by the maximum of the asymptotic dimensions of , and . 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.
Citation
Alexander N Dranishnikov. "On asymptotic dimension of amalgamated products and right-angled Coxeter groups." Algebr. Geom. Topol. 8 (3) 1281 - 1293, 2008. https://doi.org/10.2140/agt.2008.8.1281
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