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arXiv · 2110.01922

Complete characterizations of hyperbolic Coxeter groups with Sierpi\'nski curve boundary and with Menger curve boundary

Daniel Danielski·Michael Kapovich·Jacek Świątkowski
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Abstract

We give complete characterizations (in terms of nerves) of those word hyperbolic Coxeter groups whose Gromov boundary is homeomorphic to the Sierpi\'nski curve and to the Menger curve, respectively. The justification is mostly an appropriate combination of various results from the literature.

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Daniel Danielski, Michael Kapovich, Jacek Świątkowski. 2021-10-05. Complete characterizations of hyperbolic Coxeter groups with Sierpi\'nski curve boundary and with Menger curve boundary. https://doi.org/10.4064/fm293-7-2024

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