Decomposition theorems for group pairs

DOI10.1007/BF01261870zbMath0459.20045OpenAlexW2056627185MaRDI QIDQ1151969

Heinz Müller

Publication date: 1981

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/183640

zbMATH Keywords

fundamental groupdecomposition theoremsfirst cohomology groupweightrestriction mapfundamental groups of graphs of groupsfinitely generated group2-dimensional Poincare duality groupgroups acting on a treenumber of ends of a group

Mathematics Subject Classification ID

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 (4)

Splittings of non-finitely generated groups. ⋮ Plane motion groups and virtual Poincaré duality of dimension two ⋮ Adapted splittings for pairs \((G,W)\) ⋮ Decompositions of free groups

Cites Work

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• Exact sequences associated with a graph of groups
• On accessible groups
• Relative version of a theorem of Stallings
• Relative homology and Poincaré duality for group pairs
• Pairs of relative cohomological dimension one
• On torsion-free groups with infinitely many ends
• Accessibility and Groups of Cohomological Dimension One
• Abstract length functions in groups
• Groups of cohomological dimension one
• Groups of cohomological dimension one

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