A Proof of Sageev’s Theorem on Hyperplanes in CAT(0) Cubical Complexes

DOI10.1007/978-3-319-43674-6_4zbMath1434.20026arXiv0909.0968OpenAlexW1728997079MaRDI QIDQ5112371

Daniel Scott Farley

Publication date: 29 May 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.0968

zbMATH Keywords

hyperplanesCAT(0)cubical complex

Mathematics Subject Classification ID

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

Cites Work

• The action of Thompson's group on a CAT(0) boundary.
• Kazhdan and Haagerup properties from the median viewpoint.
• Groups acting on \(\text{CAT}(0)\) cube complexes
• Cubulating spaces with walls.
• Embeddings of graph braid and surface groups in right-angled Artin groups and braid groups.
• Cubulating small cancellation groups.
• Graphs of some CAT(0) complexes
• Special cube complexes
• FROM WALL SPACES TO CAT(0) CUBE COMPLEXES
• Coxeter Groups act on CAT(0) cube complexes
• Ends of Group Pairs and Non-Positively Curved Cube Complexes
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