Primary Abelian Groups Isomorphic to the Proper Fully Invariant Subgroup

DOI10.1080/00927872.2014.918996zbMath1333.20053OpenAlexW1785987621MaRDI QIDQ3448252

M. M. Nikolskaya, S. Ya. Grinshpon

Publication date: 23 October 2015

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

Full work available at URL: https://doi.org/10.1080/00927872.2014.918996

zbMATH Keywords

fully invariant subgroupsUlm-Kaplansky invariantsseparable groupsprimary Abelian groupsdirect sums of cyclic groupsIF-groupstorsion complete \(p\)-groups

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)

Cites Work

• Isomorphic direct summands of Abelian groups
• Fully Invariant Subgroups of Abelianp-Groups with Finite Ulm–Kaplansky Invariants
• An infinite primary abelian group without proper isomorphic subgroups
• Quasi-minimal abelian groups
• The structure of large subgroups of primary abelian groups
• Groups with isomorphic proper subgroups

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