Mathematics 1 JAN, 2014

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

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 dimens

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

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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