Right-angled Coxeter groups with non-planar boundary (Q2694828)
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scientific article; zbMATH DE number 7672081
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Right-angled Coxeter groups with non-planar boundary |
scientific article; zbMATH DE number 7672081 |
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Right-angled Coxeter groups with non-planar boundary (English)
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4 April 2023
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Summary: 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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right-angled Coxeter groups
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CAT
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