End invariants of amalgamated free products

DOI10.1016/0022-4049(82)90099-8zbMath0481.20024OpenAlexW1971133207MaRDI QIDQ1161822

Bradley W. Jackson

Publication date: 1982

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(82)90099-8

zbMATH Keywords

finitely presented groupsend invariantsends of groupsamalgamated product1-L C at infinityfundamental group of finite complexHNN-groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Homological methods in group theory (20J05) 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 (2)

Topological tameness conditions of spaces and groups: results and developments ⋮ Homotopy of ends and boundaries of CAT(0) groups.

Cites Work

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• Amalgamated free products of groups and homological duality
• Poincaré duality and groups of type (FP)
• Normal subgroups in duality groups and in groups of cohomological dimension 2
• The second cohomology group of \(G\) with \(Z_2G\) coefficients
• Mayer-Vietoris sequences for HNN-groups and homological duality
• On torsion-free groups with infinitely many ends
• Homotopy Classes of Maps to an Aspherical Complex
• Cohomology and the Behaviour at Infinity of Finitely Presented Groups
• Groups of cohomological dimension one

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