A relative cohomological invariant for group pairs

DOI10.1007/BF02567596zbMath0837.20061OpenAlexW1997895462MaRDI QIDQ1328173

M. G. C. Andrade, Ermínia de Lourdes Campello Fanti

Publication date: 8 September 1994

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155943

zbMATH Keywords

dualityfinitely generated groupsnumbers of endsendsduality groupscohomological invariantssubgroups of infinite indexgroup pairs

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Fundamental group, presentations, free differential calculus (57M05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Poincaré duality spaces (57P10)

Related Items (3)

On Poincaré duality for pairs (\(G\),\(W\)) ⋮ Continuous cocycle superrigidity for coinduced actions and relative ends ⋮ Some properties of E(G,W,F_TG) and an application in the theory of splittings of groups

Cites Work

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• Relative ends and duality groups
• Splittings of Poincaré duality groups
• The second cohomology group of \(G\) with \(Z_2G\) coefficients
• Ends of pairs of groups
• Relative homology and Poincaré duality for group pairs
• Groups with homological duality generalizing Poincaré duality
• Enden offener Räume und unendliche diskontinuierliche Gruppen
• An Analogue of the Torus Decomposition Theorem for Certain Poincaré Duality Groups
• Splittings of Poincaré Duality Groups III
• Ends of locally compact groups and their coset spaces
• On a Cohomology Theory for Pairs of Groups
• Endenverbände von Räumen und Gruppen

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