Quasi-isomorphism and \(\mathbb{Z}_{(2)}\)-representations for a class of Butler groups.

zbMath1147.20314MaRDI QIDQ2569664

H. Pat Goeters, Charles Megibben

Publication date: 20 October 2005

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_2001__106__21_0

zbMATH Keywords

quasi-isomorphismsButler groupsfinite rank torsion-free Abelian groups\(\mathcal B^{(1)}\)-groupsepimorphic images of finite rank completely decomposable groupsvector space representations

Mathematics Subject Classification ID

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

Related Items (4)

On quasi-decompositions of B⁽¹⁾-groups ⋮ On vector spaces with distinguished subspaces and redundant base. ⋮ Critical typesets of bracket groups ⋮ Zero-one matrices with an application to abelian groups

Cites Work

• On a class of Butler groups
• Duality and invariants for Butler groups
• Representations of finite posets and valuated groups
• The classification of certain Butler groups
• On Direct Decomposition of Torsion Free Abelian Groups.
• Quasi-Isomorphism Invariants for Two Classes of Finite Rank Butler Groups
• Torsion-Free Modules and Diagrams of Vector Spaces
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