Geodesic
On a basis of the product of varieties of groups. II
Izvestiya. Mathematics, Tome 8 (1974) no. 3, pp. 481-489 
Yu. G. Kleiman. On a basis of the product of varieties of groups. II. Izvestiya. Mathematics, Tome 8 (1974) no. 3, pp. 481-489. http://geodesic.mathdoc.fr/item/IM2_1974_8_3_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that for any finitely based variety of groups there exists a finitely based left factor such that their product is infinitely based (the left factor is a Burnside variety).

[1] Neiman X., Mnogoobraziya grupp, Mir, M., 1969 | MR

[2] Bryant Roger M., “Some infinitely based varieties of groups”, Austral. J. Math., 16:1 (1973), 29–33 | DOI | MR

[3] Kleiman Yu. G., “O bazise proizvedeniya mnogoobrazii grupp”, Izv. AN SSSR. Ser. matem., 37 (1973), 95–97 | MR | Zbl

[4] Newman M. F., “Just non-finitely-based varieties of groups”, Bull. Austral. Math. Soc., 4 (1971), 343–348 | DOI | MR | Zbl

[5] Meier-Wunderli H., “Metabelshe Gruppen”, Comment. Math. Helvet, 25 (1951), 1–10 | DOI | MR | Zbl