On a class of Butler groups

DOI10.1007/BF02568390zbMath0765.20026OpenAlexW2076533804MaRDI QIDQ1174704

Claudia Metelli, László Fuchs

Publication date: 25 June 1992

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155601

zbMATH Keywords

quasi-isomorphismpure subgroupquotients of a finite rank completely decomposable torsion-free abelian groupstrongly indecomposable Butler groups

Mathematics Subject Classification ID

Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Direct sums, direct products, etc. for abelian groups (20K25) Torsion-free groups, finite rank (20K15) Abelian groups (20K99)

Related Items (19)

On direct summands of butler я¹-groups ⋮ A class of torsion-free abelian groups characterized by the ranks of their socles ⋮ Representations of lattices in additive categories ⋮ László Fuchs' 70th birthday ⋮ On quasi-decompositions of B⁽¹⁾-groups ⋮ Abelian group theory in Italy. ⋮ Direct decompositions of torsion-free abelian groups ⋮ Settings for a study of finite rank Butler groups. ⋮ Direct decomposition theory under near-isomorphism for a class of infinite rank torsion-free abelian groups ⋮ A characterization of a class of butler groups ⋮ Balanced and cobalanced Butler groups ⋮ Abelian groups ⋮ Strongly indecomposable Butler groups ⋮ A Class of B⁽²⁾-Groups ⋮ Completely decomposable groups with prescribed invariants ⋮ Critical typesets of bracket groups ⋮ Quasi-isomorphism and \(\mathbb{Z}_{(2)}\)-representations for a class of Butler groups. ⋮ Zero-one matrices with an application to abelian groups ⋮ Finite partition lattices and butler groups

Cites Work

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• Global Azumaya theorems in additive categories
• The classification of certain Butler groups
• The type set of a torsion-free group of finite rank
• An Extension of the Theory of Completely Decomposable Torsion-Free Abelian Groups
• Isomorphism Invariants for Abelian Groups

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