English

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

Group Theory 2014-10-01 v3 Metric Geometry

Abstract

We prove the inequality \asACBmax{\asA,\asB,\asC+1} \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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Cite

@article{arxiv.0705.2546,
  title  = {On asymptotic dimension of amalgamated products and right-angled Coxeter groups},
  author = {Alexander Dranishnikov},
  journal= {arXiv preprint arXiv:0705.2546},
  year   = {2014}
}

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12 pages