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

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

2007-05-17

arxiv.org/abs/0705.2546v3

Mathematics

Group Theory

12 pages

Scientific paper

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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