Isoperimetric inequalities for Poincaré duality groups

DOI10.1090/proc/15596OpenAlexW3083425809MaRDI QIDQ4957658

Dawid Kielak, Peter H. Kropholler

Publication date: 9 September 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.07812

Mathematics Subject Classification ID

Cohomology of groups (20J06) Poincaré duality spaces (57P10)

Cites Work

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• Dehn filling in relatively hyperbolic groups.
• Poincaré duality groups of dimension two. II
• Poincaré duality groups of dimension two
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• A remark on subgroups of infinite index in Poincaré duality groups
• Cohomological lower bounds for isoperimetric functions on groups
• Convergence groups and Seifert fibered 3-manifolds
• Projective and Hilbert modules over group algebras, and finitely dominated spaces
• Local homology properties of boundaries of groups
• Higher dimensional isoperimetric functions in hyperbolic groups
• Subgroups of infinite index in Fuchsian groups
• On torsion-free groups with infinitely many ends
• On groups satisfying Poincaré duality
• The Indices of Torsion-Free Subgroups of Fuchsian Groups
• Bounded Cohomology Characterizes Hyperbolic Groups
• Homeomorphic conjugates of Fuchsian groups.
• Accessibility and Groups of Cohomological Dimension One
• Planar groups and the Seifert conjecture
• Subgroups of Word Hyperbolic Groups in Dimension 2
• Convergence groups are Fuchsian groups