Algebraically closed groups of large cardinality

DOI10.2307/2273291zbMath0427.03025OpenAlexW2073020252MaRDI QIDQ3863863

Saharon Shelah, Martin Ziegler

Publication date: 1979

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2273291

zbMATH Keywords

existence of algebraically closed groups

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60)

Related Items (8)

Canonical universal locally finite groups ⋮ Examples of highly transitive permutation groups ⋮ Constructing strongly equivalent nonisomorphic models for unstable theories ⋮ Existentially closed structures in the power of the continuum ⋮ Density of indecomposable locally finite groups ⋮ On algebraic closure and amalgamation of semigroups ⋮ Uncountable extensions of countable algebraically closed semigroups ⋮ Model-theoretic and algorithmic questions in group theory

Cites Work

• Uncountable universal locally finite groups
• Existentially closed structures and Jensen's principle \(\diamond\)
• A combinatorial problem; stability and order for models and theories in infinitary languages
• On algebraically closed groups
• Martin's Axiom Applied to Existentially Closed Groups.

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