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20182021
most citedComplete characterizations of hyperbolic Coxeter groups with Sierpiński curve boundary and with Menger curve boundary

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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.GT2020

Right-angled Coxeter groups with Menger curve boundary

Daniel Danielski

We find a sufficient condition for a nerve of a hyperbolic right-angled Coxeter group, under which the boundary of the group is homeomorphic to the Menger curve. We show that this…