On the rank of Ext

DOI10.1007/BF01293536zbMath0424.20051OpenAlexW1976099407MaRDI QIDQ1134823

S. H. Smith

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/173004

zbMATH Keywords

Whitehead groupsMartin's axiomvanishing of ExtV=Lrank of Ext

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Large cardinals (03E55) Continuum hypothesis and Martin's axiom (03E50) Torsion-free groups, infinite rank (20K20) Extensions of abelian groups (20K35) Other set-theoretic hypotheses and axioms (03E65)

Related Items (6)

Unnamed Item ⋮ On the structure of \(Ext_ p(G,{\mathbb{Z}})\) ⋮ Self-splitting Abelian groups ⋮ Abelian groups ⋮ A non-reflexive Whitehead group ⋮ A simple proof for a theorem of Chase

Cites Work

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• On Shelah's Whitehead groups and CH
• Infinite Abelian groups, Whitehead problem and some constructions
• Whitehead groups may be not free, even assuming CH. I
• A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\)
• On uncountable Abelian groups
• Extensions of torsion-free Abelian groups of finite rank
• On the structure of Ext(A,Z) in ZFC⁺
• Higher Souslin trees and the generalized continuum hypothesis
• Whitehead's Problem is Undecidable
• Homological Algebra and Set Theory
• A Note on the Combinatorial Principles ◊(E)
• How to Construct Almost Free Groups

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