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math.GT2021★ 1 cited
Complete characterizations of hyperbolic Coxeter groups with Sierpiński curve boundary and with Menger curve boundary
Daniel Danielski, Michael Kapovich, Jacek Świątkowski
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 curv…
math.GT2016★ 2 cited
Right-angled Coxeter groups with n-dimensional Sierpiński compacta as boundaries
Jacek Świątkowski
For arbitrary integer n, we describe a large class of right-angled Coxeter systems for which the visual baundary (of the corresponding Coxeter-Davis complex) is homeomorphic to the…