Nonplanar graphs in boundaries of CAT(0) groups

DOI10.4171/GGD/577MaRDI QIDQ2035052

Kevin Schreve, Emily Stark

Publication date: 23 June 2021

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

Full work available at URL: https://arxiv.org/abs/1807.02439

zbMATH Keywords

nonplanar graphgroup boundaryCAT(0) boundary

Mathematics Subject Classification ID

Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67) Group actions on manifolds and cell complexes in low dimensions (57M60)

Related Items (1)

Right-angled Coxeter groups with non-planar boundary

Cites Work

• Unnamed Item
• Boundaries of cocompact proper CAT(0) spaces.
• Boundaries and JSJ decompositions of \(\text{CAT}(0)\)-groups.
• 3-manifold groups and nonpositive curvature
• Van Kampen's embedding obstruction for discrete groups
• The geodesic flow of a nonpositively curved graph manifold.
• Spaces with nonpositive curvature and their ideal boundaries
• Homotopy of ends and boundaries of CAT(0) groups.
• Hyperbolic groups with planar boundaries
• Hyperbolic groups with low-dimensional boundary
• Boundaries of Croke-Kleiner-admissible groups and equivariant cell-like equivalence
• The Tits boundary of a $\text {CAT}(0)$ 2-complex
• Surface group amalgams that (don't) act on 3-manifolds
• The Boundary of Negatively Curved Groups
• A CAT(0) group with uncountably many distinct boundaries
• Boundaries of nonpositively curved groups of the form G × ℤⁿ

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