Geodesic
Finiteness of a set of quasivarieties of torsion-free metabelian groups of axiomatic rank 2
Algebra i logika, Tome 50 (2011) no. 3, pp. 281-302

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Let $\mathcal M$ be a quasivariety of all torsion-free groups in which squares of elements are commuting. It is proved that the set of quasivarieties contained in $\mathcal M$ and defined by quasi-identities in two variables is finite.
Keywords: quasivariety, metabelian groups, axiomatic rank. 
@article{AL_2011_50_3_a0,
     author = {Yu. A. Avtsinova},
     title = {Finiteness of a~set of quasivarieties of torsion-free metabelian groups of axiomatic rank~2},
     journal = {Algebra i logika},
     pages = {281--302},
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     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2011_50_3_a0/}
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Yu. A. Avtsinova. Finiteness of a set of quasivarieties of torsion-free metabelian groups of axiomatic rank 2. Algebra i logika, Tome 50 (2011) no. 3, pp. 281-302. http://geodesic.mathdoc.fr/item/AL_2011_50_3_a0/