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On reconstructing separable reduced p-groups with a given socle

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Publication:1101830
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DOI10.1007/BF02790788zbMath0643.20032MaRDI QIDQ1101830

Saharon Shelah

Publication date: 1987

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


zbMATH Keywords

soclepure subgroupdirect sum of cyclic p-groups\(\lambda \)-sets\(\lambda \)-systemsG.C.H.torsion-completion


Mathematics Subject Classification ID

Continuum hypothesis and Martin's axiom (03E50) Torsion groups, primary groups and generalized primary groups (20K10) Subgroups of abelian groups (20K27)


Related Items

Uniformization principles, The affinity of set theory and abelian group theory., Abelian groups, A Class of Primary Abelian Groups Characterized by Its Socles



Cites Work

  • Unnamed Item
  • On universal locally finite groups
  • Constructions of many complicated uncountable structures and Boolean algebras
  • In singular cardinality, locally free algebras are free
  • Proper forcing
  • A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals
  • On Shelah's compactness of cardinals
  • Classification theory and the number of non-isomorphic models
  • Incompactness in regular cardinals
  • Uniformization principles
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