The structure of Ext\((A,\mathbb{Z})\) and \(V=L\)

DOI10.1007/BF01437821zbMath0366.20041WikidataQ105978803 ScholiaQ105978803MaRDI QIDQ1241817

K. Appert

Publication date: 1978

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

Full work available at URL: https://eudml.org/doc/172712

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Structure and classification of infinite or finite groups (20E99) Homological and categorical methods for abelian groups (20K40)

Related Items (11)

On the structure of Ext(A,Z) in ZFC⁺ ⋮ Unnamed Item ⋮ Groups whose proper quotients have finite derived subgroups ⋮ On the structure of \(Ext_ p(G,{\mathbb{Z}})\) ⋮ The consistency of \(\mathrm{Ext}\,(G,\mathbb{Z})=\mathbb{Q}\) ⋮ The affinity of set theory and abelian group theory. ⋮ A non-reflexive Whitehead group ⋮ On cartesian powers of a rational group ⋮ On uncountable Abelian groups ⋮ On the \(p\)-rank of Ext ⋮ A simple proof for a theorem of Chase

Cites Work

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• Infinite Abelian groups, Whitehead problem and some constructions
• Singular cohomology in \(L\)
• A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals
• A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\)
• Algebraic characterization of abelian divisible groups which admit compact topologies
• Whitehead's Problem is Undecidable
• The fine structure of the constructible hierarchy

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