The axiomatic rank of Levi classes

DOI10.1007/s10469-018-9510-9zbMath1406.20035OpenAlexW2903200906MaRDI QIDQ1731323

S. A. Shakhova

Publication date: 13 March 2019

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

Full work available at URL: https://doi.org/10.1007/s10469-018-9510-9

zbMATH Keywords

nilpotent groupquasivarietyaxiomatic rankLevi class

Mathematics Subject Classification ID

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

Related Items (5)

Levi classes of quasivarieties of nilpotent groups of exponent \(p^s\) ⋮ Groups with nilpotent \(n \)-generated normal subgroups ⋮ On the Levi class of the quasivariety of right-orderable groups ⋮ The axiomatic rank of the Levi class generated by the almost abelian quasivariety of nilpotent groups ⋮ Levi classes of quasivarieties of groups with commutator subgroup of order \(p\)

Cites Work

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• The Levi classes generated by nilpotent groups.
• Levi quasivarieties of exponent \(p^s\).
• Subquasivarieties of nilpotent minimal non-Abelian group varieties
• Conditional identities in finite groups
• Quasivarieties of algebraic systems
• Levi quasivarieties
• On Levi quasivarieties generated by nilpotent groups
• On two questions from the Kourovka notebook
• Varieties of groups

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