κ-fold transitive groups

DOI10.1515/FORUM.2010.034zbMath1210.20050OpenAlexW2049731323MaRDI QIDQ3580702

Daniel Herden, Saharon Shelah

Publication date: 13 August 2010

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum.2010.034

zbMATH Keywords

torsion-free Abelian groups\(\kappa\)-fold transitive groups\(\kappa\)-free groupsBlack Box constructionsDiamond principleiterated pushouts

Mathematics Subject Classification ID

Consistency and independence results (03E35) Torsion-free groups, infinite rank (20K20) Other combinatorial set theory (03E05) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Direct sums, direct products, etc. for abelian groups (20K25)

Cites Work

• \(E(R)\)-algebras that are sharply transitive modules.
• The Existence of LargeE(R)-Algebras That Are Sharply Transitive Modules
• Constructing sharply transitive R-modules of rank ⩽

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