Relative homology and Poincaré duality for group pairs
type: Item
instance of: scholarly article
title: Relative homology and Poincaré duality for group pairs
zbMATH Open document ID: 0392.20032
DOI: 10.1016/0022-4049(78)90012-9
author: Robert Bieri
author: Beno Eckmann
published in: Journal of Pure and Applied Algebra
publication date: 1978-01-01T00:00:00Z
Mathematics Subject Classification ID: 20J05
Mathematics Subject Classification ID: 20F34
Mathematics Subject Classification ID: 20F38
Mathematics Subject Classification ID: 20E06
Mathematics Subject Classification ID: 20E22
Mathematics Subject Classification ID: 57Q20
zbMATH DE Number: 3608299
zbMATH Keywords: homological duality
zbMATH Keywords: dualizing modules
zbMATH Keywords: HNN-extensions
zbMATH Keywords: cobordism for Poincaré duality groups
zbMATH Keywords: cap products
zbMATH Keywords: amalgamated products
zbMATH Keywords: group pairs
zbMATH Keywords: Poincaré duality pairs
zbMATH Keywords: (co)homology functors
zbMATH Keywords: Mayer-Vietoris sequences for amalgams and HNN-extensions
MaRDI profile type: Publication
full work available at URL: 0022-4049(78)90012-9
OpenAlex ID: W2042574265
cites work: Q4148144
cites work: Guppen mit Poincaré-Dualität
cites work: On groups of finite cohomological dimension and duality groups over a ring
cites work: Mayer-Vietoris sequences for HNN-groups and homological duality
cites work: Normal subgroups in duality groups and in groups of cohomological dimension 2
cites work: Q4129638
cites work: Groups with homological duality generalizing Poincaré duality
cites work: Amalgamated free products of groups and homological duality
cites work: Cobordism for Poincaré duality groups
cites work: Homological criteria for finiteness
cites work: Poincaré 2-complexes. I
cites work: Q4134612
cites work: On a Cohomology Theory for Pairs of Groups
cites work: Q3267443
cites work: Q5180606
cites work: A remark on subgroups of infinite index in Poincaré duality groups
cites work: A homological finiteness criterion
cites work: Groups of cohomological dimension one
cites work: Relative version of a theorem of Stallings
cites work: Pairs of relative cohomological dimension one
description: scientific article; zbMATH DE number 3608299