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. 
@article{AL_2003_42_2_a1,
     author = {A. I. Budkin},
     title = {The {Lattice} of {Quasivarieties} of {Torsion-Free} {Metabelian} {Groups}},
     journal = {Algebra i logika},
     pages = {161--181},
     publisher = {mathdoc},
     volume = {42},
     number = {2},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2003_42_2_a1/}
}
TY  - JOUR
AU  - A. I. Budkin
TI  - The Lattice of Quasivarieties of Torsion-Free Metabelian Groups
JO  - Algebra i logika
PY  - 2003
SP  - 161
EP  - 181
VL  - 42
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AL_2003_42_2_a1/
LA  - ru
ID  - AL_2003_42_2_a1
ER  - 
%0 Journal Article
%A A. I. Budkin
%T The Lattice of Quasivarieties of Torsion-Free Metabelian Groups
%J Algebra i logika
%D 2003
%P 161-181
%V 42
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AL_2003_42_2_a1/
%G ru
%F AL_2003_42_2_a1
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/