Minimal number of generators for (G,d)-modules

DOI10.1016/0022-4049(81)90007-4zbMath0487.20002OpenAlexW2093450028MaRDI QIDQ1165312

James A. Schafer

Publication date: 1981

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(81)90007-4

zbMATH Keywords

augmentation idealsperiodic cohomologyrelation modulesintegral group ringminimum number of generators(G,d)-modulesnormal nilpotent Hall subgrouppartial free resolutions

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Cohomology of groups (20J06) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Homological methods in group theory (20J05) Integral representations of finite groups (20C10) Resolutions; derived functors (category-theoretic aspects) (18G10)

Cites Work

• Distinguishing arithmetic for certain stably isomorphic modules
• Relation modules for extensions of nilpotent groups
• Minimal resolutions for finite groups
• Lattices over orders I
• Homotopy classification of \((\pi,m)\)-complexes
• Unnamed Item

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