On socles of Abelian p-groups in L
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Publication:584423
DOI10.1216/RMJ-1988-18-4-733zbMath0693.20050MaRDI QIDQ584423
Publication date: 1988
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
filtrations\(V=L\)\(\omega _ 1\)-separable p-groups\(MA+\neg CH\)direct sum of cyclicsfiltration-equivalentisometric soclesisomorphic basic subgroupspure countable subgroupsseparable abelian p-groupundecidable in ZFCvaluated vector space
Inner models, including constructibility, ordinal definability, and core models (03E45) Continuum hypothesis and Martin's axiom (03E50) Torsion groups, primary groups and generalized primary groups (20K10)
Related Items (4)
The affinity of set theory and abelian group theory. ⋮ The development of the theory of \(p\)-groups. ⋮ Remarks about the history of Abelian groups in England and Germany. ⋮ A Class of Primary Abelian Groups Characterized by Its Socles
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