On the \(p\)-rank of \(\mathrm{Ext}(A,B)\) for countable Abelian groups \(A\) and \(B\).

DOI10.1007/s11856-013-0039-2zbMath1297.20057arXiv1401.5317OpenAlexW1985404658MaRDI QIDQ2017129

Saharon Shelah, Lutz H. Strüngmann

Publication date: 25 June 2014

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.5317

zbMATH Keywords

extensionstorsion-free Abelian groups\(p\)-rankcountable Abelian groupstorsion-free rank

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Extensions of abelian groups (20K35) Torsion-free groups, finite rank (20K15)

Cites Work

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• A characterization of Ext(G,Z) assuming (V=L)
• The p-rank of Extℤ(G, ℤ) in certain models of ZFC
• Can the Fundamental (Homotopy) Group of a Space be the Rationals?

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