Almost completely decomposable groups and integral linear algebra

DOI10.1006/jabr.1997.7372zbMath0912.20044OpenAlexW2089519561MaRDI QIDQ1270961

Khalid Benabdallah, Adolf Mader

Publication date: 4 March 1999

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

Full work available at URL: https://semanticscholar.org/paper/d6e434f45b46ab64a25bb60611d979938868f048

zbMATH Keywords

almost completely decomposable groupsregulating subgroupsSmith normal formcritical typesetsBurkhardt invariantsfinite essential extensionsgreatest common divisors of matricespurifications of subgroups

Mathematics Subject Classification ID

Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27) Torsion-free groups, finite rank (20K15)

Related Items (5)

Construction of regulating subgroups in almost completely decomposable groups. ⋮ Tight subgroups in almost completely decomposable groups ⋮ Modules over discrete valuation domains. III ⋮ Representing matrices of almost completely decomposable groups ⋮ Representations over PID’s with three distinguished submodules

Uses Software

• Maple

Cites Work

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• Finite rank torsion free Abelian groups and rings
• Classifying almost completely decomposable abelian groups
• Representations of finite posets and near-isomorphism of finite rank Butler groups
• Almost completely decomposable groups with a cyclic regulating quotient
• Block rigid almost completely decomposable groups and lattices over multiple pullback rings
• Almost completely decomposable groups with primary cyclic regulating quotient
• The idempotent lifting theorem for almost completely decomposable abelian groups
• On Finite Essential Extensions of Torsion Free Abelian Groups
• Almost Completely Decomposable Torsion Free Abelian Groups
• Almost completely decomposable groups with a cyclic regulating quotient
• A recursion formula for the polynomial solutions of a partial differential equation

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