On Levi quasivarieties generated by nilpotent groups

DOI10.1007/BF02674590zbMath0956.20015MaRDI QIDQ1587000

L. V. Taranina, Aleksandr Ivanovich Budkin

Publication date: 21 November 2000

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

Full work available at URL: https://eudml.org/doc/120818

zbMATH Keywords

nilpotent groupscentralizersquasivarieties of groupsLevi classes

Mathematics Subject Classification ID

Nilpotent groups (20F18) Quasivarieties and varieties of groups (20E10) Quasivarieties (08C15) Engel conditions (20F45)

Related Items (9)

Levi classes of quasivarieties of nilpotent groups of exponent \(p^s\) ⋮ Groups with nilpotent \(n \)-generated normal subgroups ⋮ The axiomatic rank of the Levi class generated by the almost abelian quasivariety of nilpotent groups ⋮ The axiomatic rank of Levi classes ⋮ Levi quasivarieties of exponent \(p^s\). ⋮ The Levi classes generated by nilpotent groups. ⋮ The operator \(L_n\) on quasivarieties of universal algebras ⋮ A Levi class generated by a quasivariety of nilpotent groups ⋮ Levi classes of quasivarieties of groups with commutator subgroup of order \(p\)

Cites Work

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• Metabelian Levi-formations
• Quasivarieties of algebraic systems
• Levi quasivarieties
• Z-A groups which satisfy the mth Engel condition
• Engelsche Elemente der Länge drei. (Engel elements of length three.)
• On Levi-formations
• A statistical theory of transport phenomena
• On three-Engel groups

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