Homology and cohomology of locally supersoluble groups

DOI10.1017/S0305004100067268zbMath0669.20044MaRDI QIDQ3822406

Derek J. S. Robinson

Publication date: 1987

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

Dedekind domainRG-modulelocally supersoluble groups(co)homology groupslocally supersoluble torsion group

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Homological methods in group theory (20J05) Homological methods in associative algebras (16Exx)

Related Items

Groups with Supersoluble Non-normal Subgroups, Locally supersolvable extensions of Abelian groups

Cites Work

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• Injective modules over Noetherian rings
• Some splitting theorems for infinite supersoluble groups
• The vanishing of certain homology and cohomology groups
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• On torsion in the differentials of the Lyndon-Hochschild-Serre spectral sequence
• On minimal resolutions for metacyclic groups with periodic cohomology
• SPLITTING OVER THE LOCALLY NILPOTENT RESIDUAL FOR A CLASS OF LOCALLY FINITE GROUPS
• SUPERSOLUBILITY CONDITIONS AND A FRATTINI-LIKE SUBGROUP
• Representations of locally finite groups