Dominions in varieties of nilpotent groups

DOI10.1080/00927870008826892zbMath0955.20012arXivmath/9804072OpenAlexW1964103272MaRDI QIDQ4947077

Arturo Magidin

Publication date: 30 November 2000

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

Full work available at URL: https://arxiv.org/abs/math/9804072

zbMATH Keywords

nilpotent groupsvarieties of groupscategories of groupsmetabelian groupsdominions\(2\)-Engel groups

Mathematics Subject Classification ID

Nilpotent groups (20F18) Quasivarieties and varieties of groups (20E10) Commutator calculus (20F12) Engel conditions (20F45) Products, amalgamated products, and other kinds of limits and colimits (08B25) Category of groups (20J15)

Related Items (12)

On dominions of the rationals in nilpotent groups ⋮ Dominions in finitely generated nilpotent groups ⋮ Dominions in quasivarieties of metabelian groups. ⋮ Dominions in Abelian subgroups of metabelian groups. ⋮ Amalgams of nilpotent groups of class two. ⋮ Dominions of universal algebras and projective properties ⋮ On 2-closedness of the rational numbers in quasivarieties of nilpotent groups ⋮ Dominions in quasivarieties of universal algebras ⋮ 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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• Ordering coproducts of groups and semigroups
• On nilpotent groups on exponent p
• On Nilpotent Products of Cyclic Groups
• On Nilpotent Products of Cyclic Groups. II
• Dominions in finitely generated nilpotent groups
• SPLITTING GROUPS AND PROJECTIVES IN VARIETIES OF GROUPS
• SURJECTIVE EPIMORPHISMS IN CLASSES OF GROUPS
• Epimorphisms and Dominions. IV

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