The structure of large subgroups of primary abelian groups

DOI10.1007/BF01894787zbMath0215.39804OpenAlexW2072168027MaRDI QIDQ5618512

E. W. Poluianov, Khalid Benabdallah, John M. Irwin, B. J. Eisenstadt

Publication date: 1970

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01894787

Mathematics Subject Classification ID

Torsion groups, primary groups and generalized primary groups (20K10) Subgroups of abelian groups (20K27)

Related Items (17)

Characteristic properties of large subgroups in primary Abelian groups. ⋮ Primary Abelian Groups Isomorphic to the Proper Fully Invariant Subgroup ⋮ Fully Invariant Subgroups of Abelianp-Groups with Finite Ulm–Kaplansky Invariants ⋮ Fully inert subgroups of torsion-complete \(p\)-groups ⋮ Fully inert subgroups of Abelian \(p\)-groups. ⋮ Unnamed Item ⋮ On abelian groups having isomorphic proper characteristic subgroups ⋮ A homological characterization of large subgroups ⋮ The lattice of fully invariant subgroups of the cotorsion hull. ⋮ Characteristic subspaces and hyperinvariant frames ⋮ Unnamed Item ⋮ Abelian groups isomorphic to a proper fully invariant subgroup ⋮ The lattice of fully invariant subgroups of a cotorsion group. ⋮ Abelian groups ⋮ Fully invariant subgroups, full transitivity, and homomorphism groups of Abelian groups. ⋮ Torsion IF-groups. ⋮ Large and high subgroup

Cites Work

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• Direct sums of countable groups and related concept
• Quasi-isomorphism of primary groups
• Large subgroups and small homomorphisms
• Homology and direct sums of countable abelian groups
• Quasi-closed primary groups

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