Totally Crawley groups

DOI10.1016/0021-8693(88)90096-8zbMath0639.20036OpenAlexW2038500640MaRDI QIDQ1100289

B. George

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90096-8

zbMATH Keywords

lengthPFAdirect sums of countable groups\(V=L\)p-groupundecidable in ZFCdirect sums of cyclic groupsProper Forcing Axiom\(\lambda\)-Crawley group\(\lambda\)-Zippin groupcountable limit ordinalFuchs-5 grouptotally Crawley groupstotally Zippin groups

Mathematics Subject Classification ID

Applications of set theory (03E75) Torsion groups, primary groups and generalized primary groups (20K10) Direct sums, direct products, etc. for abelian groups (20K25)

Related Items (2)

Remarks about the history of Abelian groups in England and Germany. ⋮ Abelian groups

Cites Work

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• Crawley's problem on the unique \(\omega\)-elongation of p-groups is undecidable
• \(\omega\)-elongations and Crawley's problem. The solution to Crawley's problem
• In singular cardinality, locally free algebras are free
• Proper forcing
• On Shelah's Whitehead groups and CH
• A generalization of the classical theory of primary groups
• Note on extensions of Abelian groups by primary groups
• Totally Zippin p-Groups
• The Structure of Groups Which are Almost the Direct Sum of Countable Abelian Groups
• How to Construct Almost Free Groups
• Summands of Separable Abelian Groups: Dedicated to Paul Turán on his 60th Birthday

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