Geodesic
Quasivarieties with Torsion-Free Nilpotent Groups
Algebra i logika, Tome 40 (2001) no. 6, pp. 629-650.

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

A condition is specified on which a quasivariety generated by a direct product of two groups with amalgamated central subgroups has an infinite lattice of subquasivarieties. A lattice of quasivarieties is stated finite for a quasivariety which is a union of some covers of Abelian groups in a lattice of quasivarieties of torsion-free solvable groups.
Keywords: quasivariety, lattice of quasivarieties, nilpotent group, Abelian group
Mots-clés : torsion-free solvable group. 
@article{AL_2001_40_6_a0,
     author = {A. I. Budkin},
     title = {Quasivarieties with {Torsion-Free} {Nilpotent} {Groups}},
     journal = {Algebra i logika},
     pages = {629--650},
     publisher = {mathdoc},
     volume = {40},
     number = {6},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2001_40_6_a0/}
}
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A. I. Budkin. Quasivarieties with Torsion-Free Nilpotent Groups. Algebra i logika, Tome 40 (2001) no. 6, pp. 629-650. http://geodesic.mathdoc.fr/item/AL_2001_40_6_a0/