Torsion Free Groups

DOI10.2307/2000061zbMath0597.20047OpenAlexW4253900354MaRDI QIDQ3729173

Charles Megibben, Paul Hill

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000061

zbMATH Keywords

typesprimitive elementsdirect sumcompletely decomposableseparable groupstorsion-free abelian groupsknice subgroupsk-groupsheight sequencesbalanced subgroup*- valuated coproducthomogeneous separable groupthird axiom of countablility

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27) Torsion-free groups, finite rank (20K15)

Related Items (10)

Pure Subgroups of Torsion-Free Groups ⋮ Balanced projectives and axiom 3 ⋮ Completely decomposable pure subgroups of completely decomposable Abelian groups ⋮ Modules over discrete valuation domains. III ⋮ Modules over discrete valuation domains. I ⋮ Separable pure subgroups of completely decomposable torsion-free abelian groups ⋮ Abelian groups ⋮ Mixed Groups ⋮ Modules over discrete valuation domains. II ⋮ Butler groups cannot be classified by certain invariants

Cites Work

• On the theory and classification of Abelian \(p\)-groups
• Abelian groups without elements of finite order
• Axiom 3 Modules
• The Third Axiom of Countability for Abelian Groups
• Summands of Separable Abelian Groups: Dedicated to Paul Turán on his 60th Birthday
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