On hyperbolic groups with spheres as boundary

2009/11/19 by Bartels, Arthur, Lueck, Wolfgang, Weinberger, Shmuel · 2 citations
#20F67 #57N99 #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.0911.3725

Abstract

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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• Cyclic orders and actions of Leary--Minasyan groups on coarse PD(n) spaces
• Survey on the Farrell-Jones Conjecture

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