\(G\)-identities of nilpotent groups. I (Q2746923)

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scientific article; zbMATH DE number 1656861
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\(G\)-identities of nilpotent groups. I
scientific article; zbMATH DE number 1656861

    Statements

    11 October 2001
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    \(G\)-identities
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    \(G\)-varieties
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    \(G\)-groups
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    algebraic geometry over groups
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    nilpotent groups
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    \(G\)-identities of nilpotent groups. I (English)
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    \textit{M.~G.~Amaglobeli} and \textit{V.~N.~Remeslennikov} [Algebra Logika 39, No. 3, 249-272 (2000; Zbl 0966.20014)] and \textit{G.~Baumslag}, \textit{A.~Myasnikov}, and \textit{V.~Remeslennikov} [J. Algebra 219, No. 1, 16-79 (1999; Zbl 0938.20020)] developed algebraic geometry over groups. In the article under review, the author finds the structure of \(G\)-varieties in case \(G\) is a nilpotent group of class at most~2.
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