Cohomology with free coefficients of the fundamental group of a graph of groups

DOI10.1007/BF02567398zbMath0584.20037WikidataQ56385169 ScholiaQ56385169MaRDI QIDQ1070346

Ross Geoghegan, K. Stephen Brown

Publication date: 1985

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/139998

zbMATH Keywords

HNN extensionscohomology of groupsamalgamated productsMayer-Vietoris sequencefundamental group of a finite graph of groups of type \(FP_ n\)

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) 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)

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Amenable groups of finite cohomological dimension and the zero divisor conjecture, Homological dimension of elementary amenable groups, On a relation between certain cohomological invariants., HNN decompositions of the Lodha–Moore groups, and topological applications, Free Abelian cohomology of groups and ends of universal covers