Butler groups of arbitrary cardinality

DOI10.1007/BF02761702zbMath0789.20062OpenAlexW2080814087MaRDI QIDQ1310165

Menachem Magidor, László Fuchs

Publication date: 13 June 1994

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

Full work available at URL: https://doi.org/10.1007/bf02761702

zbMATH Keywords

Butler groupscontinuum hypothesistorsionfree groupsconstructible universe\(V = L\)axiom-3 familiesseparative subgroups

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Models with special properties (saturated, rigid, etc.) (03C50)

Related Items

Butler groups of infinite rank, Almost Butler groups, Torsion-free extensions of butler groups by primary groups, Endomorphism rings of \(B_2\)-groups of infinite rank, László Fuchs' 70th birthday, On abelian groups by which balanced extensions of a rational group split. II, A very weak square principle, The affinity of set theory and abelian group theory., Remarks about the history of Abelian groups in England and Germany., The sequentially pure projective dimension of global groups with decomposition bases., Butler groups that are unions of subgroups with countable typesets, Torsion-free modules of finite balanced-projective dimension over valuation domains., Isotype knice subgroups of global Warfield groups, Representations over PID’s with three distinguished submodules, A criterion for complete decomposability and Butler modules over valuation domains, \(PB^ \infty\)-subgroups of Butler groups, On endomorphism rings of $B_1$-groups that are not $B_2$-groups, Classification of modules with two distinguished pure submodules and bounded quotients, Butler groups of infinite rank

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