Periodic flats in CAT(0) cube complexes.

DOI10.2140/agt.2011.11.1793zbMath1272.20048OpenAlexW2093722857MaRDI QIDQ543055

Daniel T. Wise, Michah Sageev

Publication date: 17 June 2011

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

Full work available at URL: https://doi.org/10.2140/agt.2011.11.1793

zbMATH Keywords

CAT(0) spacesflat torus theoremCAT(0) cube complexesword-hyperbolic groups3-dimensional manifoldscyclic facing triplesisometrically embedded planesperiodic flat planes

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (6)

CAT(0) cube complexes with flat hyperplanes ⋮ AN ALTERNATE PROOF OF WISE’S MALNORMAL SPECIAL QUOTIENT THEOREM ⋮ Non-hyperbolic automatic groups and groups acting on CAT(0) cube complexes ⋮ Hyperbolicities in CAT(0) cube complexes ⋮ Hyperbolic diagram groups are free ⋮ Algebraic characterisation of relatively hyperbolic special groups

Cites Work

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• Deterministic aperiodic tile sets
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• Geometry of cubulated 3-manifolds
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• Some Unsolvable Problems about Elements and Subgroups of Groups.
• Approximating Flats by Periodic Flats in CAT(0) Square Complexes
• Ends of Group Pairs and Non-Positively Curved Cube Complexes
• Finitely Generated 3-Manifold Groups are Finitely Presented

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