On the relative hyperbolicity and manifold structure of certain right-angled Coxeter groups

Matthew Haulmark; Hoang Thanh Nguyen; Hung Cong Tran

On the relative hyperbolicity and manifold structure of certain right-angled Coxeter groups

Group Theory 2019-09-09 v4

Authors: Matthew Haulmark , Hoang Thanh Nguyen , Hung Cong Tran

Abstract

In this article, we study the manifold structure and the relatively hyperbolic structure of right-angled Coxeter groups with planar nerves. We then apply our results to the quasi-isometry problem for this class of right-angled Coxeter groups.

Keywords

right-angled Coxeter groups planar nerves manifold structure relatively hyperbolic structure quasi-isometry

Cite

@article{arxiv.1708.07818,
  title  = {On the relative hyperbolicity and manifold structure of certain right-angled Coxeter groups},
  author = {Matthew Haulmark and Hoang Thanh Nguyen and Hung Cong Tran},
  journal= {arXiv preprint arXiv:1708.07818},
  year   = {2019}
}

Comments

37 pages, 10 figures

On the relative hyperbolicity and manifold structure of certain right-angled Coxeter groups

Abstract

Keywords

Cite

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