Fundamentals of the theory of varieties of nilpotent MR-groups

DOI10.1134/S003744661606001XzbMath1393.20011MaRDI QIDQ515479

Mikheil Amaglobeli, Vladimir N. Remeslennikov

Publication date: 16 March 2017

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

zbMATH Keywords

tensor completion\(\alpha\)-commutatorHall R-groupLyndon R-groupMR-groupnilpotent MR-groupvariety of MR-groups

Mathematics Subject Classification ID

Nilpotent groups (20F18) Special aspects of infinite or finite groups (20F99) Quasivarieties and varieties of groups (20E10)

Related Items (3)

The tensor completion functor in categories of exponential \textit{MR}-groups ⋮ On nilpotent power \textit{MR}-groups ⋮ Exponential \(MR\)-groups: faithful \(R\)-completion

Cites Work

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

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