Hyperbolic groups with finitely presented subgroups not of type \(F_3\)

DOI10.1007/s10711-021-00599-xOpenAlexW3159931961MaRDI QIDQ2039293

Robert Kropholler

Publication date: 2 July 2021

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.09505

zbMATH Keywords

finiteness propertieshyperbolic groupscube complexes

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Geometric group theory (20F65) Homological methods in group theory (20J05) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (4)

Hyperbolic groups with almost finitely presented subgroups (with an appendix by Robert Kropholler and Federico Vigolo) ⋮ Subgroups of hyperbolic groups, finiteness properties and complex hyperbolic lattices ⋮ Geometric structures in group theory. Abstracts from the workshop held February 27 -- March 5, 2022 ⋮ Finitely generated groups acting uniformly properly on hyperbolic space

Cites Work

• The geometry of the word problem for finitely generated groups.
• Morse theory and finiteness properties of groups
• Branched Coverings of Cubical Complexes and Subgroups of Hyperbolic Groups
• Subgroups of small Cancellation Groups
• On the Existence of Flat Planes in Spaces of Non-Positive Curvature
• A hyperbolic group with a finitely presented subgroup that is not of type FP3
• Subgroups of Word Hyperbolic Groups in Dimension 2
• Finiteness properties of groups
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