Right-angled Coxeter groups with non-planar boundary
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 characteriza...
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| Veröffentlicht in: | Groups, geometry and dynamics geometry and dynamics, 2023-01, Vol.17 (1), p.127-155, Article 127 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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. |
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| ISSN: | 1661-7207 1661-7215 |
| DOI: | 10.4171/ggd/668 |