High subgroups of primary Abelian groups of length \(\omega +n\)

DOI10.1016/0021-8693(83)90235-1zbMath0536.20035OpenAlexW1985039249MaRDI QIDQ791665

Doyle Cutler

Publication date: 1983

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90235-1

zbMATH Keywords

high subgroupsabelian p-groupspure dense subgroups

Mathematics Subject Classification ID

Torsion groups, primary groups and generalized primary groups (20K10) Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27)

Related Items (2)

Abelian groups ⋮ The existence of certain pure dense subgroups of Abelian p-groups is not decidable in ZFC

Cites Work

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• On \(N\)-high subgroups of Abelian groups
• The uniqueness of elongations of Abelian groups
• Extensions of \(p\)-bounded groups
• Note on extensions of Abelian groups by primary groups
• Primary Abelian Groups Having all High Subgroups Isomorphic
• On p^ω+1 -Projective p -Groups
• On the Structure of Primary Abelian Groups of Countable Ulm Type

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