Dominions in quasivarieties of metabelian groups.

DOI10.1007/s11202-010-0040-5zbMath1204.20029OpenAlexW2006398837MaRDI QIDQ606039

Aleksandr Ivanovich Budkin

Publication date: 15 November 2010

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11202-010-0040-5

zbMATH Keywords

homomorphismsclosure operatorslattices of subgroupsdominionsclosed subgroupsdivisible subgroupsquasivarieties of metabelian groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Chains and lattices of subgroups, subnormal subgroups (20E15) Quasivarieties and varieties of groups (20E10) Quasivarieties (08C15) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items (7)

On dominions of the rationals in nilpotent groups ⋮ Dominions in Abelian subgroups of metabelian groups. ⋮ On 2-closedness of the rational numbers in quasivarieties of nilpotent groups ⋮ Dominions in solvable groups. ⋮ Absolutely closed groups in the class of 2-step nilpotent torsion-free groups. ⋮ Absolute closedness of torsion-free abelian groups in the class of metabelian groups. ⋮ On the closedness of a locally cyclic subgroup in a metabelian group.

Cites Work

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• Dominions in quasivarieties of universal algebras
• 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

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