Representing matrices of almost completely decomposable groups

DOI10.1016/S0022-4049(00)00048-7zbMath0997.20049OpenAlexW2064031849MaRDI QIDQ5936009

Loyiso G. Nongxa, Otto Mutzbauer, Adolf Mader

Publication date: 17 November 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(00)00048-7

zbMATH Keywords

direct sumsgeneratorsalmost completely decomposable groupscompletely decomposable subgroupscritical typesincomparable typesregulating subgroupsrepresenting matrices

Mathematics Subject Classification ID

Extensions of abelian groups (20K35) Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27) Torsion-free groups, finite rank (20K15)

Related Items (1)

Isomorphism classes of uniform groups.

Cites Work

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• Decompositions of torsion free abelian groups of rank 3
• Almost completely decomposable groups and integral linear algebra
• Classifying almost completely decomposable abelian groups
• Local-global relations for almost completely decomposable groups
• Almost completely decomposable groups with a cyclic regulating quotient
• Elementary abelian extensions of finite rigid systems
• Almost completely decomposable groups with two critical types
• Representation type of finite rank almost completely decomposable groups
• Improved model selection criterion

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