Primary Abelian Groups Having all High Subgroups Isomorphic

DOI10.2307/2044098zbMath0474.20027OpenAlexW4255412341MaRDI QIDQ3929928

Doyle Cutler

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2044098

zbMATH Keywords

Ulm invariantshigh subgroupsdirect sum of cyclic groupsAbelian p-group

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) Abelian groups (20K99)

Related Items (5)

The Equivalence of High Subgroups ⋮ Abelian groups ⋮ Equivalence theorems ⋮ The existence of certain pure dense subgroups of Abelian p-groups is not decidable in ZFC ⋮ High subgroups of primary Abelian groups of length \(\omega +n\)

Cites Work

• Unnamed Item
• On \(N\)-high subgroups of Abelian groups
• Extensions of \(p\)-bounded groups
• Splitting properties of high subgroups
• On Primary Groups with Countable Basic Subgroups
• On the Structure of Primary Abelian Groups of Countable Ulm Type

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