Determinimg abelianp-groups from theirn-Socles

DOI10.1080/00927879008823915zbMath0712.20035OpenAlexW1996314159MaRDI QIDQ3497273

Saharon Shelah, Alan H. Mekler

Publication date: 1990

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879008823915

zbMATH Keywords

independenceZFCGCHdirect sum of cyclicssocle groupsn-soclen-socle groupsseparable, abelian p-groupsUlm's height functionvaluated abelian groups

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Consistency and independence results (03E35) Torsion groups, primary groups and generalized primary groups (20K10)

Related Items (3)

Note on elongations of totally projective \(p\)-groups by \(p^{\omega+n}\)-projective \(p\)-groups. ⋮ Abelian groups ⋮ A Class of Primary Abelian Groups Characterized by Its Socles

Cites Work

• Unnamed Item
• Crawley's problem on the unique \(\omega\)-elongation of p-groups is undecidable
• Incompactness in regular cardinals
• Uniformization principles

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