Divergence in right-angled Coxeter groups

  title={Divergence in right-angled Coxeter groups},
  author={Pallavi Dani and Anne Thomas},
  journal={Transactions of the American Mathematical Society},
  • Pallavi Dani, Anne Thomas
  • Published 2012
  • Mathematics
  • Transactions of the American Mathematical Society
  • Let W be a 2-dimensional right-angled Coxeter group. We characterise such W with linear and quadratic divergence, and construct right-angled Coxeter groups with divergence poly- nomial of arbitrary degree. Our proofs use the structure of walls in the Davis complex. 

    Figures and Tables from this paper.


    Publications referenced by this paper.
    Right-angled Artin groups are commensurable with right-angled Coxeter groups
    • 99
    • PDF
    The geometry and topology of Coxeter groups
    • 387
    • PDF
    The asymptotic geometry of right-angled Artin groups, I
    • 47
    • PDF
    Divergence in lattices in semisimple Lie groups and graphs of groups
    • 88
    • PDF
    Metric Spaces of Non-Positive Curvature
    • 2,314
    3-manifold Groups and Nonpositive Curvature
    • 75
    • PDF
    Asymptotic Geometry of the Mapping Class Group and Teichmuller Space
    • 155
    • PDF
    CAT(0) spaces with polynomial divergence of geodesics
    • 17
    • Highly Influential
    • PDF
    Divergence in 3-manifold groups
    • 41
    Pushing fillings in right-angled Artin groups
    • 21
    • PDF