On hyperbolic groups with spheres as boundary
classification
🧮 math.GT
math.GR
keywords
boundarygrouphyperbolicasphericalcloseddimensionalfundamentalgroups
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Let G be a torsion-free hyperbolic group and let n > 5 be an integer. We prove that G is the fundamental group of a closed aspherical manifold if the boundary of G is homeomorphic to an (n-1)-dimensional sphere.
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