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 

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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
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    S. V. Varaksin, “Lattice-ordered groups generated by right-ordered groups,”Algebra Logika,28, No. 5, 524–533 (1989).Google Scholar
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    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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