JournalsggdVol. 17, No. 1pp. 127–155

Right-angled Coxeter groups with non-planar boundary

  • Pallavi Dani

    Louisiana State University, Baton Rouge, USA

  • Matthew Haulmark

    Binghamton University, USA

  • Genevieve Walsh

    Tufts University, Medford, USA
Right-angled Coxeter groups with non-planar boundary cover
Download PDF

This article is published open access under our Subscribe to Open model.

Abstract

We investigate the planarity of the boundaries of right-angled Coxeter groups. We show that non-planarity of the defining graph does not necessarily imply non-planarity of every boundary of the associated right-angled Coxeter group, although it does in many cases. Our techniques yield a characterization of the triangle-free defining graphs such that the associated right-angled Coxeter group has boundary a Menger curve.

Cite this article

Pallavi Dani, Matthew Haulmark, Genevieve Walsh, Right-angled Coxeter groups with non-planar boundary. Groups Geom. Dyn. 17 (2023), no. 1, pp. 127–155

DOI 10.4171/GGD/668