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arXiv · 0705.2546

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

Alexander Dranishnikov
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Abstract

We prove the inequality $$ \as A\ast_CB\le\max\{\as A,\as B,\as C+1\} $$ and 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.

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Alexander Dranishnikov. 2007-12-19. On asymptotic dimension of amalgamated products and right-angled Coxeter groups. https://doi.org/10.2140/agt.2008.8.1281

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