Document Type
Article
Publication Date
1-1-2023
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.
Publication Source (Journal or Book title)
Groups Geometry and Dynamics
First Page
127
Last Page
155
Recommended Citation
Dani, P., Haulmark, M., & Walsh, G. (2023). Right-angled Coxeter groups with non-planar boundary. Groups Geometry and Dynamics, 17 (1), 127-155. https://doi.org/10.4171/GGD/668
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