LIMIT GROUPS ARE CAT(0)

DOI10.1112/S0024610706023155zbMath1171.57001arXivmath/0410198OpenAlexW2152615135MaRDI QIDQ5489191

Emina Alibegović, Mladen Bestvina

Publication date: 25 September 2006

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410198

zbMATH Keywords

CAT(0) spacelimit grouptowersisolated flatsScott core of a 3-manifold

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Asymptotic properties of groups (20F69) Hyperbolic groups and nonpositively curved groups (20F67) Discontinuous groups of transformations (57S30) Group actions on manifolds and cell complexes in low dimensions (57M60)

Related Items (16)

2-polyhedra for which every homotopy domination over itself is a homotopy equivalence ⋮ Complexity volumes of splittable groups ⋮ 2-dimensional polyhedra with finite depth ⋮ A gluing theorem for negatively curved complexes ⋮ Hadamard spaces with isolated flats. (With an appendix written jointly with Mohamad Hindawi). ⋮ Normalisers in limit groups. ⋮ Profinite extensions of centralizers and the profinite completion of limit groups ⋮ Time complexity of the conjugacy problem in relatively hyperbolic groups ⋮ ENDOMORPHISMS OF RELATIVELY HYPERBOLIC GROUPS ⋮ The Borel conjecture for hyperbolic and CAT(0)-groups ⋮ Normal subgroups in limit groups of prime index ⋮ Limit groups over coherent right-angled Artin groups ⋮ Residually free groups do not admit a uniform polynomial isoperimetric function ⋮ Nielsen realization by gluing: limit groups and free products ⋮ Finiteness properties of cubulated groups ⋮ Subgroups of direct products of limit groups.

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