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The Lattice of Quasivarieties of Torsion-Free Metabelian Groups |
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| Authors: | A. I. Budkin |
| Affiliation: | (1) Pavlovskii road 60a-168, Barnaul, 656064 |
| Abstract: | Assume that a quasivariety  of groups contains a non-Abelian free metabelian group and a non-Abelian free nilpotent group of class 2. It is proved that the lattice of quasivarieties contained in  is infinite and non-modular. |
| Keywords: | quasivariety of torsion-free metabelian groups lattice metabelian group nilpotent group |
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