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

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.

12 pages

References in corpus (5)

• Every Coxeter group acts amenably on a compact space
• On asymptotic dimension of groups
• Embedding of Coxeter groups in a product of trees
• Cohomological approach to asymptotic dimension
• An etale approach to the Novikov conjecture

Cited by in corpus (9)

• Embedding relatively hyperbolic groups in products of trees
• The Haagerup property is stable under graph products
• Finite asymptotic dimension for CAT(0) cube complexes
• On constructions preserving the asymptotic topology of metric spaces
• Gromov positive scalar curvature conjecture and rationally inessential macroscopically large manifolds
• Asymptotic Dimension of Graphs of Groups and One Relator Groups
• Assouad-Nagata dimension of finitely generated C'(1/6) groups
• Decomposition complexity growth of finitely generated groups
• A new upper bound for the Asymptotic Dimension of RACGs