A generalized axis theorem for cube complexes

DOI10.2140/agt.2017.17.2737zbMath1405.20030arXiv1602.01952OpenAlexW2268342864MaRDI QIDQ2409804

Daniel J. Woodhouse

Publication date: 16 October 2017

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.01952

zbMATH Keywords

geometric group theorycube complexes\(\mathrm{CAT}(0)\) spacesaxis

Mathematics Subject Classification ID

Geometric group theory (20F65) Fundamental group, presentations, free differential calculus (57M05) Group actions on manifolds and cell complexes in low dimensions (57M60)

Related Items (7)

The geometry of one-relator groups satisfying a polynomial isoperimetric inequality ⋮ Median sets of isometries in \(\mathrm{CAT}(0)\) cube complexes and some applications ⋮ A note on torsion subgroups of groups acting on finite-dimensional CAT(0) cube complexes ⋮ Lower bounds on cubical dimensionof $C’(1/6)$ groups ⋮ Algebraic characterisation of relatively hyperbolic special groups ⋮ A curiously cubulated group ⋮ Quasi-isometric rigidity for graphs of virtually free groups with two-ended edge groups

Cites Work

• A cubical flat torus theorem and the bounded packing property
• Rank rigidity for CAT(0) cube complexes.
• Ends of pairs of groups
• Codimension-1 subgroups and splittings of groups
• Cubular tubular groups
• The Automorphism Group of a Free Group Is Not a Cat(0) Group
• Groups acting on cubes and Kazhdan’s property (T)
• Ends of Group Pairs and Non-Positively Curved Cube Complexes
• A parabolic action on a proper, CAT(0) cube complex
• Unnamed Item

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