Complete characterizations of hyperbolic Coxeter groups with Sierpiński curve boundary and with Menger curve boundary
Volume 267 / 2024
Fundamenta Mathematicae 267 (2024), 117-128
MSC: Primary 20F67; Secondary 20F55, 20F65
DOI: 10.4064/fm293-7-2024
Published online: 2 September 2024
Abstract
We give complete characterizations (in terms of nerves) of those word hyperbolic Coxeter groups whose Gromov boundary is homeomorphic to the Sierpiński curve and to the Menger curve, respectively. The justification is mostly an appropriate combination of various results from the literature.
