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Algebra and Logic

, Volume 34, Issue 1, pp 18–22 | Cite as

Right-ordered and free lattice-ordered groups

  • S. V. Varaksin
Article
  • 13 Downloads

Abstract

The free ℓ-groups over nilpotent groups are considered. The upper bound of ℓ-solvable length is found for an ℓ-group over a nilpotent group of finite rank; the lower bound of solvable length is given for a free ℓ-group over a finitely generated nilpotent group.

Keywords

Mathematical Logic Nilpotent Group Finite Rank Solvable Length 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    M. I. Kargapolov and Yu. I. Merzlyakov,Group Theory [in Russian], Nauka, Moscow (1982).Google Scholar
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    V. M. Kopytov,Lattice-Ordered Groups [in Russian], Nauka, Moscow (1984).Google Scholar
  3. 3.
    S. V. Varaksin, “Lattice-ordered groups generated by right-ordered groups,”Algebra Logika,28, No. 5, 524–533 (1989).Google Scholar
  4. 4.
    M. Darnel, “The free lattice-ordered group over a nilpotent group,”Proc. Am. Math. Soc.,111, No. 2, 301–310 (1991).Google Scholar

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • S. V. Varaksin

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