Relative ends and duality groups

DOI10.1016/0022-4049(89)90014-5zbMath0691.20036OpenAlexW2092462383MaRDI QIDQ582397

Martin A. Roller, Peter H. Kropholler

Publication date: 1989

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(89)90014-5

zbMATH Keywords

actioninfinite indexPoincaré duality groupfinitely generatedalgebraic number of endscommensurizergeometric end invariantrelative ends of groupsright G-modulesS-finite subsets

Mathematics Subject Classification ID

Geometric group theory (20F65) Homological methods in group theory (20J05) Fundamental group, presentations, free differential calculus (57M05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Poincaré duality spaces (57P10)

Related Items

A relative cohomological invariant for group pairs, Codimension-1 subgroups and splittings of groups, The Bochner-Hartogs dichotomy for bounded geometry hyperbolic Kähler manifolds, Continuous cocycle superrigidity for coinduced actions and relative ends, A cohomological characterization of locally virtually cyclic groups, Filtered ends of infinite covers and groups, Remarks on a theorem of Swarup on ends of pairs of groups, Constructing irreducible representations of discrete groups, Relative ends, \(\ell^2\)-invariants and property (T)., On the coarse-geometric detection of subgroups., Bipolar Coxeter groups., The geometry of groups containing almost normal subgroups, Analogues of Cayley graphs for topological groups, Some properties of E(G,W,F_TG) and an application in the theory of splittings of groups, Groups acting on cubes and Kazhdan’s property (T), Finiteness properties of cubulated groups, Splittings of finitely generated groups over two-ended subgroups, The singularity obstruction for group splittings, Splittings and \(C\)-complexes., On the ends of pairs of groups, L² CASTELNUOVO–DE FRANCHIS, THE CUP PRODUCT LEMMA, AND FILTERED ENDS OF KÄHLER MANIFOLDS, Cubulable Kähler groups, A proof that Thompson's groups have infinitely many relative ends, Splittings of groups and intersection numbers, Quasi-isometric rigidity of subgroups and filtered ends, Decomposing groups by codimension-1 subgroups

Cites Work

• Unnamed Item
• Unnamed Item
• Splittings of Poincaré duality groups
• Groups, trees and projective modules
• A remark on subgroups of infinite index in Poincaré duality groups
• Ends of pairs of groups
• Relative homology and Poincaré duality for group pairs
• On torsion-free groups with infinitely many ends
• Die erste Cohomologiegruppe von Überlagerungen und Homotopie- Eigenschaften dreidimensionaler Mannigfaltigkeiten
• Enden offener Räume und unendliche diskontinuierliche Gruppen
• Accessibility and Groups of Cohomological Dimension One
• Splittings of Poincaré Duality Groups II
• Splittings of Poincaré Duality Groups III
• Ends of locally compact groups and their coset spaces
• The Geometries of 3-Manifolds
• Groups of cohomological dimension one