Geodesic
The Lattice of Quasivarieties of Torsion-Free Metabelian Groups
Algebra i logika, Tome 42 (2003) no. 2, pp. 161-181.

Voir la notice de l'article provenant de la source Math-Net.Ru

Assume that a quasivariety $\mathcal M$ 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 $\mathcal M$ is infinite and non-modular.
Keywords: quasivariety of torsion-free metabelian groups, lattice, metabelian group, nilpotent group. 
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A. I. Budkin. The Lattice of Quasivarieties of Torsion-Free Metabelian Groups. Algebra i logika, Tome 42 (2003) no. 2, pp. 161-181. http://geodesic.mathdoc.fr/item/AL_2003_42_2_a1/

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