Hyperbolic groups with boundary an n-dimensional Sierpinski space
نویسندگان
چکیده
منابع مشابه
Hyperbolic groups with 1-dimensional boundary
If a torsion-free hyperbolic group G has 1-dimensional boundary ∂∞G, then ∂∞G is a Menger curve or a Sierpinski carpet provided G does not split over a cyclic group. When ∂∞G is a Sierpinski carpet we show that G is a quasiconvex subgroup of a 3-dimensional hyperbolic Poincaré duality group. We also construct a “topologically rigid” hyperbolic group G: any homeomorphism of ∂∞G is induced by an ...
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ژورنال
عنوان ژورنال: Journal of Topology and Analysis
سال: 2019
ISSN: 1793-5253,1793-7167
DOI: 10.1142/s1793525319500109