Relation modules of Abelian groups

DOI10.1007/BF01772928zbMath0546.20004OpenAlexW2027911265MaRDI QIDQ798414

Peter A. Linnell

Publication date: 1984

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01772928

zbMATH Keywords

relation modulesHirsch numberfinitely generated groupfree presentationfinitely generated infinite abelian group

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) Abelian groups (20K99) Integral representations of infinite groups (20C12)

Related Items (2)

Abelian groups ⋮ Invariants for distinguishing between stably isomorphic modules

Cites Work

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• Minimal relation modules of free nilpotent groups
• Bounding the number of generators of a metabelian group
• The minimal relation modules of a finite Abelian group
• Serre's conjecture
• Decomposition of Augmentation Ideals and Relation Modules

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