Varieties of exponential \(R\)-groups

DOI10.1007/s10469-024-09731-8MaRDI QIDQ6199355

T. T. Nadiradze, Alexei G. Myasnikov, Mikheil Amaglobeli

Publication date: 23 February 2024

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

zbMATH Keywords

tensor completion\textit{MR}-group\( \alpha \)-commutator\(R\)-commutantnilpotent \textit{MR}-groupLyndon's \(R\)-groupvariety of \textit{ MR}-groups

Mathematics Subject Classification ID

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

Cites Work

• Centralizer extension in nilpotent groups.
• Discriminating completions of hyperbolic groups
• Algorithmic problems for class-2 nilpotents MR-groups
• Free Abelian X-groups
• The tensor completion functor in categories of exponential \textit{MR}-groups
• Free nilpotent \(R\)-groups of class 2.
• Groups with exponents. I: Fundamentals of the theory and tensor completions
• Varieties of exponential \textit{MR}-groups
• Groups With Parametric Exponents
• EXPONENTIAL GROUPS 2: EXTENSIONS OF CENTRALIZERS AND TENSOR COMPLETION OF CSA-GROUPS
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