Almost completely decomposable groups and unbounded representation type.

DOI10.1016/J.JALGEBRA.2011.10.019zbMath1253.20057OpenAlexW2059314352MaRDI QIDQ420668

Otto Mutzbauer, Ebru Solak, Adolf Mader, David M. Arnold

Publication date: 23 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.10.019

zbMATH Keywords

representationssubgroups of finite indexindecomposable groupsalmost completely decomposable groupsregulating subgroupstorsion-free Abelian groups of finite rank

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 (7)

Unnamed Item ⋮ The class of \((1,3)\)-groups with homocyclic regulator quotient of exponent \(p^4\) has bounded representation type. ⋮ A Remak-Krull-Schmidt Class of Torsion-Free Abelian Groups ⋮ The Class of (2, 3)-Groups with Homocyclic Regulator Quotient of Exponent p 2 ⋮ Representations of Posets and Indecomposable Torsion-Free Abelian Groups ⋮ THE CLASS OF (2, 2)-GROUPS WITH HOMOCYCLIC REGULATOR QUOTIENT OF EXPONENT  HAS BOUNDED REPRESENTATION TYPE ⋮ Indecomposable (1,3)-Groups and a matrix problem

Cites Work

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• (1,4)-groups with homocyclic regulator quotient of exponent p³
• Almost Completely Decomposable Torsion Free Abelian Groups
• Representation type of finite rank almost completely decomposable groups
• A Class of Torsion-Free Abelian Groups of Finite Rank
• Representations of Finite Posets Over Discrete Valuation Rings

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