Free nilpotent \(R\)-groups of class 2.

DOI10.1134/S1064562412020226zbMath1282.20050OpenAlexW1964267180MaRDI QIDQ1760990

Vladimir N. Remeslennikov, Mikheil Amaglobeli

Publication date: 15 November 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562412020226

zbMATH Keywords

free nilpotent groupscategories of power groups

Mathematics Subject Classification ID

Nilpotent groups (20F18) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Quasivarieties and varieties of groups (20E10) Category of groups (20J15) Algebraic geometry over groups; equations over groups (20F70)

Related Items (8)

The tensor completion functor in categories of exponential \textit{MR}-groups ⋮ Some results of the theory of exponential \(R\)-groups ⋮ Unnamed Item ⋮ Tensor completion in the category of \(R\)-groups over a ring \(R\). ⋮ On nilpotent power \textit{MR}-groups ⋮ Varieties of exponential \(R\)-groups ⋮ Varieties of exponential \textit{MR}-groups ⋮ Fundamentals of the theory of varieties of nilpotent MR-groups

Cites Work

• Discriminating completions of hyperbolic groups
• Groups with exponents. I: Fundamentals of the theory and tensor completions
• EXPONENTIAL GROUPS 2: EXTENSIONS OF CENTRALIZERS AND TENSOR COMPLETION OF CSA-GROUPS

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