Quasiidentities of nilpotent groups and of groups with one defining relation

DOI10.1007/BF01669499zbMath0437.20001OpenAlexW2088388191MaRDI QIDQ1141220

Aleksandr Ivanovich Budkin

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1007/bf01669499

zbMATH Keywords

basis of identitiesfirst order predicate calculusgroups with one defining relationnonabelian nilpotent subgroupquasi- identities of groups

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Nilpotent groups (20F18) Free nonabelian groups (20E05) Quasivarieties (08C15)

Related Items (4)

On quasivarieties of axiomatic rank 3 of torsion-free nilpotent groups ⋮ Groups with nilpotent \(n \)-generated normal subgroups ⋮ On the axiomatic rank of some quasivarieties ⋮ Finiteness of a set of quasivarieties of torsion-free metabelian groups of axiomatic rank 2.

Cites Work

• Unnamed Item
• Commutativity in One-Relator Groups^†
• Varieties of groups

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