Almost completely decomposable groups with a cyclic regulating quotient

DOI10.1006/jabr.1995.1308zbMath0862.20041OpenAlexW2015246268MaRDI QIDQ1903027

Adolf Mader, C. I. Vinsonhaler

Publication date: 20 May 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1995.1308

zbMATH Keywords

torsion-free Abelian groupsdirect summandsindecomposabilityalmost completely decomposable groupscritical typesregulating subgroupsdirect decompositionscyclic \(p\)-groupsnear-isomorphismsACD-groupscompletely decomposable subgroups of finite indexnearly isomorphic CQR-groupsregulating quotients

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27)

Related Items (10)

Almost completely decomposable groups with a cyclic regulating quotient ⋮ Almost completely decomposable groups and unbounded representation type. ⋮ Sharp types revisited. ⋮ Tight subgroups in torsion-free Abelian groups. ⋮ Duality for almost completely decomposable groups. ⋮ Tight subgroups in almost completely decomposable groups ⋮ Representing matrices of almost completely decomposable groups ⋮ Almost completely decomposable groups and integral linear algebra ⋮ Local-global relations for almost completely decomposable groups ⋮ Almost completely decomposable groups with primary cyclic regulating quotient

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