Characteristic properties of large subgroups in primary Abelian groups.

DOI10.1007/BF02830001zbMath1062.20059arXivmath/0503031OpenAlexW1985196495MaRDI QIDQ1884011

Peter V. Danchev

Publication date: 25 October 2004

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503031

zbMATH Keywords

projective groupsAbelian \(p\)-groups\(\sigma\)-summable groupslarge subgroupspure-complete \(p\)-groupssummable \(p\)-groups

Mathematics Subject Classification ID

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

Related Items (5)

Notes on Essentially Finitely Indecomposable Nonthick Primary Abelian Groups ⋮ Nice bases for primary Abelian groups. ⋮ Primary Abelian \(n\)-\(\Sigma\)-groups. ⋮ Generalized Dieudonné and Honda Criteria ⋮ On λ-Large Subgroups of Summable C_Ω-Groups

Cites Work

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• Quasi-isomorphism for infinite Abelian \(p\)-groups
• Thin abelian p-groups
• On the Structure of Abelian p-Groups
• Large and high subgroup
• The structure of large subgroups of primary abelian groups

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