\((1,2)\)-groups with \(p^3\)-regulator quotient.

DOI10.1016/J.JALGEBRA.2008.09.002zbMath1159.20028OpenAlexW2036024404MaRDI QIDQ958999

Otto Mutzbauer, Ebru Solak

Publication date: 10 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.09.002

zbMATH Keywords

almost completely decomposable groupsrepresenting matricesfinite rank torsion-free Abelian groupswild representation typeregulators\((1,2)\)-groups\(p\)-local groupsKoehler basesmatrix equivalences

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 (4)

Classification of a class of torsion-free abelian groups ⋮ The class of \((1,3)\)-groups with homocyclic regulator quotient of exponent \(p^4\) has bounded representation type. ⋮ Almost completely decomposable groups and unbounded representation type. ⋮ Indecomposable (1,3)-Groups and a matrix problem

Cites Work

• Finite rank torsion free Abelian groups and rings
• Abelian groups and representations of finite partially ordered sets
• BR-groups with critical type set (1, 2)
• Representations of Finite Posets Over Discrete Valuation Rings
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