On the Cohomological Dimension of Soluble Groups

DOI10.4153/CMB-1981-060-xzbMath0438.20026MaRDI QIDQ3879437

Ralph Strebel, Dion Gildenhuys

Publication date: 1981

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

cohomological dimensionhomological dimensiontorsion-free soluble groupcountable soluble groupfinite Hirsch number

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05)

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Groups which satisfy a weak form of Poincaré duality, FINITELY DOMINATED COVERING SPACES OF 3- AND 4-MANIFOLDS, On the cohomology of soluble groups. II, Cohomological finiteness conditions for elementary amenable groups, On Bredon homology of elementary amenable groups, Centralizers and normalizers of subgroups of \(\text{PD}_3\)-groups and open \(\text{PD}_3\)-groups.