Minimal pure subgroups in primary groups

DOI10.24033/bsmf.1609zbMath0214.04103OpenAlexW2584361129MaRDI QIDQ5616211

Charles Megibben, Paul Hill

Publication date: 1964

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1964__92__251_0

Mathematics Subject Classification ID

Torsion groups, primary groups and generalized primary groups (20K10)

Related Items

Intersections of Pure Subgroups in Abelian Groups, On Primary Groups with Countable Basic Subgroups, Quasi-closed primary groups, Pure subgroups having prescribed socles, N-high subgroups of abelian p-groups, A Note on a Paper of Paul Hill and Charles Megibben, The development of the theory of \(p\)-groups., Quasi-purifiable subgroups and height-matrices., On strongly purifiable subgroups of primary abelian groups, The lattice of fully invariant subgroups of a cotorsion group, Stift groups and wild socles, On primary groups with uncountably many elements of infinite height, The existence of certain pure dense subgroups of Abelian p-groups is not decidable in ZFC, A classification of direct sums of closed groups

Cites Work

• Unnamed Item
• On \(N\)-high subgroups of Abelian groups
• Étude sur les sous-groupes d'un groupe abélien
• Dense Submodules
• Remarks on a problem in primary abelian groups
• A note on a paper of Bernard Charles («Étude sur les sous-groupes d'un groupe abélien»)