Non-existence of universal members in classes of abelian groups

DOI10.1515/JGTH.2001.014zbMath1035.20044arXivmath/9808139OpenAlexW2044462425MaRDI QIDQ2711629

Saharon Shelah

Publication date: 1 March 2004

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9808139

zbMATH Keywords

torsion-free Abelian groupsseparable Abelian \(p\)-groups\(\aleph_1\)-free groupsuniversal members

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Applications of set theory (03E75) Torsion-free groups, infinite rank (20K20) Torsion groups, primary groups and generalized primary groups (20K10) Subgroups of abelian groups (20K27)

Related Items (3)

On universal modules with pure embeddings ⋮ A model theoretic solution to a problem of László Fuchs ⋮ Club guessing and the universal models

Cites Work

• On the Very Weak 0–1 Law for Random Graphs with Orders
• Unnamed Item
• Unnamed Item

This page was built for publication: Non-existence of universal members in classes of abelian groups