On cartesian powers of a rational group

DOI10.1007/BF01214839zbMath0403.20034OpenAlexW2025181773MaRDI QIDQ1256066

K. Appert

Publication date: 1979

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172894

zbMATH Keywords

Axiom of ConstructibilityCartesian Powers of a Rational GroupReduced Rational GroupSmallest Measurable CardinalWhitehead's Problem

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Inner models, including constructibility, ordinal definability, and core models (03E45) Large cardinals (03E55) Torsion-free groups, infinite rank (20K20) Extensions of abelian groups (20K35) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27) Torsion-free groups, finite rank (20K15) Topological methods for abelian groups (20K45)

Related Items (2)

Abelian groups ⋮ On reflexive modules and Abelian groups

Cites Work

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• Abelian group extensions and the axiom of constructibility
• Infinite Abelian groups, Whitehead problem and some constructions
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• Die Struktur kartesischer Produkte ganzer Zahlen modulo kartesische Produkte ganzer Zahlen
• On the torsion subgroup of Ext(A,G)
• Extensions of torsion-free Abelian groups of finite rank
• On Direct Products of Infinite Cyclic Groups
• Martin's Axiom
• Whitehead's Problem is Undecidable
• Homological Algebra and Set Theory

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