Absolute closedness of torsion-free abelian groups in the class of metabelian groups.

DOI10.1007/S10469-014-9267-8zbMath1315.20024OpenAlexW2059478831MaRDI QIDQ2342297

Aleksandr Ivanovich Budkin

Publication date: 11 May 2015

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-014-9267-8

zbMATH Keywords

torsion-free Abelian groupsmetabelian groupsdominionsquasivarieties of groupsabsolutely closed subgroups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Quasivarieties and varieties of groups (20E10) Quasivarieties (08C15)

Related Items (3)

On dominions of the rationals in nilpotent groups ⋮ On 2-closedness of the rational numbers in quasivarieties of nilpotent groups ⋮ Dominions in solvable groups.

Cites Work

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• Dominions in quasivarieties of metabelian groups.
• Dominions in quasivarieties of universal algebras
• Dominions in Abelian subgroups of metabelian groups.
• Lattices of dominions in quasivarieties of Abelian groups
• Lattices of dominions of universal algebras
• Dominions of universal algebras and projective properties
• Epimorphisms and amalgams
• Dominions in varieties of nilpotent groups
• Distributivity conditions for lattices of dominions in quasivarieties of Abelian groups
• Finiteness Conditions for Soluble Groups
• Absolutely closed nil-2 groups

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