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Crawley's problem on the unique \(\omega\)-elongation of p-groups is undecidable

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Publication:1055564
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DOI10.2140/pjm.1983.107.205zbMath0521.20035OpenAlexW2088051569MaRDI QIDQ1055564

Charles Megibben

Publication date: 1983

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1983.107.205


zbMATH Keywords

ZFCseparable groupsabelian p-groupsdirect sum of cyclic groupsV=LCrawley groupsCrawley's problemMA+nonCHomega-elongationsigma-cyclic groups


Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Continuum hypothesis and Martin's axiom (03E50) Extensions of abelian groups (20K35) Torsion groups, primary groups and generalized primary groups (20K10)


Related Items

Unnamed Item ⋮ Totally Crawley groups ⋮ Determinimg abelianp-groups from theirn-Socles ⋮ The affinity of set theory and abelian group theory. ⋮ The development of the theory of \(p\)-groups. ⋮ Abelian groups ⋮ The Structure of Groups Which are Almost the Direct Sum of Countable Abelian Groups ⋮ The existence of certain pure dense subgroups of Abelian p-groups is not decidable in ZFC



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