On the cohomology of soluble groups. II

DOI10.1016/0022-4049(82)90112-8zbMath0493.20032OpenAlexW2061643615MaRDI QIDQ1168431

Ralph Strebel, Dion Gildenhuys

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)90112-8

zbMATH Keywords

metabelian groupinverse limithomological dimensionsHirsch lengthtorsion-free soluble groupcohomological dimension of soluble groupscohomology of iterated ascending HNN-extensionsconstructible soluble groupsnilpotent by infinite cyclic groupPoincare-dualityunion of finitely generated subgroups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Homological methods in group theory (20J05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Limits, profinite groups (20E18)

Related Items

Cohomological dimension of soluble groups, On invariants with multiplicity, Projective resolutions up to bounded torsion and bounds for the orders of the finite subgroups., Sigma theory for Bredon modules., Homological dimension of elementary amenable groups, Euler classes and Bredon cohomology for groups with restricted families of finite subgroups., Harmonic analysis, cohomology, and the large-scale geometry of amenable groups, Cohomological finiteness conditions for elementary amenable groups, On Bredon homology of elementary amenable groups, Normal subgroups of Abels' groups, On the equality between homological and cohomological dimension of groups

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