Butler groups with finite typesets and free groups with distinguished subgroups

DOI10.1080/00927879308824661zbMath0776.20017OpenAlexW1989457753MaRDI QIDQ5286457

Manfred Dugas, David M. Arnold

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1080/00927879308824661

zbMATH Keywords

completely decomposable groupstypesets\(B_ 2\)-groupsfinite rank Butler groupscountable Butler groupsset of typesinessential homomorphisms

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Direct sums, direct products, etc. for abelian groups (20K25) Torsion-free groups, finite rank (20K15)

Related Items (6)

Block rigid almost completely decomposable groups and lattices over multiple pullback rings ⋮ Representations of finite posets and near-isomorphism of finite rank Butler groups ⋮ Endomorphism rings of \(B_2\)-groups of infinite rank ⋮ Free modules with two distinguished submodules ⋮ Representations over PID’s with three distinguished submodules ⋮ Classification of modules with two distinguished pure submodules and bounded quotients

Cites Work

• Every cotorsion-free algebra is an endomorphism algebra
• Indecomposable Butler groups of large cardinalities
• Countable Butler groups and vector spaces with four distinguished subspaces
• Butler Groups of Infinite Rank II
• Almost completely decomposable groups with two critical types
• Prescribing Endomorphism Algebras, a Unified Treatment
• Torsion-Free Modules and Diagrams of Vector Spaces
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