The classification of certain Butler groups

DOI10.1006/JABR.1993.1199zbMath0809.20047OpenAlexW2094501096MaRDI QIDQ1320140

Charles Megibben, Paul Hill

Publication date: 29 March 1995

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1993.1199

zbMATH Keywords

heightsequivalence theoremButler groupspure subgroupsstrongly indecomposable groupstorsion-free abelian groupsinduced by automorphismscompletely decomposable torsion-free groupsextended type vectorfinite rank completely decomposable groupisomorphisms between subgroupsRichman-Butler groupsweakly *-pure subgroups

Mathematics Subject Classification ID

Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27) Torsion-free groups, finite rank (20K15) Abelian groups (20K99)

Related Items (9)

On direct summands of butler я¹-groups ⋮ A class of torsion-free abelian groups characterized by the ranks of their socles ⋮ On a class of Butler groups ⋮ A characterization of a class of butler groups ⋮ Isomorphism Invariants for Abelian Groups ⋮ Mixed Groups ⋮ Equivalence theorems ⋮ Quasi-isomorphism and \(\mathbb{Z}_{(2)}\)-representations for a class of Butler groups. ⋮ Butler groups cannot be classified by certain invariants

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