It is consistent with ZFC that B1 -groups are not B2

DOI10.1515/FORM.2003.028zbMath1027.20030OpenAlexW2010853892MaRDI QIDQ4807678

Saharon Shelah, Lutz H. Strüngmann

Publication date: 25 May 2003

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/form.2003.028

zbMATH Keywords

undecidabilityconsistencytorsion-free Abelian groupsButler groupspure subgroupsCohen forcinginfinite rank groupsmodels of ZFC\(B_1\)-groups\(B_2\)-groups

Mathematics Subject Classification ID

Consistency and independence results (03E35) Torsion-free groups, infinite rank (20K20)

Related Items (4)

Pure subgroups of completely decomposable groups and a group class problem. ⋮ The affinity of set theory and abelian group theory. ⋮ Remarks about the history of Abelian groups in England and Germany. ⋮ On endomorphism rings of $B_1$-groups that are not $B_2$-groups

Cites Work

• Set theory. An introduction to independence proofs
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