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- W2963316487 abstract "In this article, we consider the problem of classification of the nilpotent class 2 finitely generated torsion free groups up to geometric equivalence. By a very easy technique it is proved that this problem is equivalent to the problem of classification of the complete in the Maltsev sense nilpotent torsion free finite rank groups up to isomorphism. This result leads to better understanding of the complexity of the problem of the classification of the quasi-varieties of the nilpotent class 2 groups. It is well known that the variety of the nilpotent class s groups is Noetherian for every s ∈ ℕ. So the problem of the classification of the quasi-varieties generated even by a single nilpotent class 2 finitely generated torsion free group is equivalent to the problem of classification of the complete in the Maltsev sense nilpotent torsion free finite rank groups up to isomorphism." @default.
- W2963316487 created "2019-07-30" @default.
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- W2963316487 date "2008-08-13" @default.
- W2963316487 modified "2023-09-23" @default.
- W2963316487 title "The Problem of the Classification of the Nilpotent Class 2 Torsion Free Groups up to Geometric Equivalence" @default.
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- W2963316487 doi "https://doi.org/10.1080/00927870802104428" @default.
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