On asymptotic dimension of amalgamated products and right-angled Coxeter groups
classification
🧮 math.GR
math.MG
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dimensionasymptoticcoxeterinequalityright-angledamalgamatedapplycomplex
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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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