Algebra and Logic

, Volume 46, Issue 4, pp 274–280 | Cite as

Algebraic sets in metabelian groups

  • N. S. Romanovskii
Article

Abstract

The research launched in [1] is brought to a close by examining algebraic sets in a metabelian group G in two important cases: (1) G = Fn is a free metabelian group of rank n; (2) G = Wn,k is a wreath product of free Abelian groups of ranks n and k.

Keywords

algebraic set metabelian group 

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References

  1. 1.
    V. N. Remeslennikov and N. S. Romanovskii, “Irreducible algebraic sets in metabelian groups,” Algebra Logika, 44, No. 5, 601–621 (2005).MATHMathSciNetGoogle Scholar
  2. 2.
    G. Baumslag, A. Myasnikov, and V. N. Remeslennikov, “Algebraic geometry over groups. I: Algebraic sets and ideal theory,” J. Alg., 219, No. 1, 16–79 (1999).MATHCrossRefMathSciNetGoogle Scholar
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    A. Myasnikov and V. N. Remeslennikov, “Algebraic geometry over groups. II. Logical foundations,” J. Alg., 234, No. 1, 225–276 (2000).MATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  • N. S. Romanovskii
    • 1
  1. 1.Institute of Mathematics, Siberian BranchRussian Academy of SciencesNovosibirskRussia

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