The vanishing of certain homology and cohomology groups

DOI10.1016/0022-4049(76)90029-3zbMath0329.20032OpenAlexW2077768207MaRDI QIDQ1227067

Derek J. S. Robinson

Publication date: 1976

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(76)90029-3

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (38)

Isomorfismi tra reticoli di sottogruppi normali di gruppi nilpotenti senza torsione ⋮ Groups with a nilpotent-by-finite triple factorization ⋮ Groups satisfying the double chain condition on subnormal subgroups ⋮ Cohomology of locally nilpotent groups ⋮ Groups with a supersoluble triple factorization ⋮ Special polycyclic generating sequences for finite soluble groups. ⋮ On finiteness properties of the Johnson filtrations ⋮ Infinite factorized groups ⋮ Morphisms inverted by profinite completion ⋮ Hypercentral extensions of Abelian groups ⋮ On the Frattini subgroup of a polycyclic group ⋮ On the Hirsch-Plotkin radical of a factorized group ⋮ \(FC\)-groups with few subnormal non-normal subgroups ⋮ Infinite soluble groups with no outer automorphisms ⋮ Bounding the number of generators of a polycyclic group ⋮ Conjugacy in polycyclic groups ⋮ Infinite groups ⋮ Nearly maximal subgroups of finitely generated soluble subgroups ⋮ On the cohomology of soluble groups. II ⋮ A NOTE ON GROUPS WHOSE PROPER LARGE SUBGROUPS HAVE A TRANSITIVE NORMALITY RELATION ⋮ The friendly giant ⋮ Conjugacy in polycyclic groups ⋮ Homology and Cell Structure of Nilpotent Spaces ⋮ Homology and cohomology of locally supersoluble groups ⋮ On the Fitting length of a soluble product of nilpotent groups ⋮ Soluble products of nilpotent groups ⋮ Soluble products of nilpotent groups ⋮ Groups whose proper quotients are finite-by-nilpotent ⋮ On trifactorized soluble minimax groups ⋮ Groups with many periodic factor-groups ⋮ On Groups with Finite Abelian Section Rank Factorized by Mutually Permutable Subgroups ⋮ Finiteness theorems for polycyclic groups ⋮ On central automorphisms of finite-by-nilpotent groups ⋮ On metanilpotent groups satisfying the minimal condition on normal subgroups ⋮ Finite groups with standard components of Lie type over fields of characteristic two ⋮ Soluble groups which are products of nilpotent minimax groups ⋮ Soluble groups which are products of nilpotent minmax groups ⋮ Groups in which every infinite subnormal subgroup is normal

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the cohomology of soluble groups of finite rank
• A cohomological characterization of finite nilpotent groups
• Some properties of groups inherited by normal subgroups of finite index
• Cohomological topics in group theory.
• Note on extensions of Abelian groups by primary groups
• The cohomology theory of group extensions
• Remarks on the Upper Centralc Series of a Group
• Splitting Properties of Soluble Groups
• Splitting over nilpotent and hypercentral residuals
• Injective modules and soluble groups satisfying the minimal condition for normal subgroups
• The Integral Group Rings of Hypercentral Groups
• Zur Erweiterungstheorie der endlichen Gruppen.
• The Splitting of Certain Solvable Groups
• Homology

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