The weak hyperbolization conjecture for 3-dimensional CAT(0)-groups.

DOI10.4171/GGD/4zbMath1127.20030WikidataQ123275003 ScholiaQ123275003MaRDI QIDQ2372589

Michael Kapovich, Bruce Kleiner

Publication date: 31 July 2007

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

zbMATH Keywords

Poincaré duality groupspretreesCAT(0)-groupsmetric treesGromov hyperbolic groupsideal boundariesflat parallel setsweak hyperbolization conjecture

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67) Poincaré duality spaces (57P10)

Related Items (3)

CAT(0) spaces with boundary the join of two Cantor sets. ⋮ Around 3-manifold groups ⋮ Flats in 3-manifolds

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• Homeomorphic conjugates of Fuchsian groups.
• Geodesic Flow in Certain Manifolds Without Conjugate Points
• Convergence groups are Fuchsian groups

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