Geodesic
On a basis of the product of varieties of groups. II
Izvestiya. Mathematics, Tome 8 (1974) no. 3, pp. 481-489 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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). 
@article{IM2_1974_8_3_a2,
     author = {Yu. G. Kleiman},
     title = {On a~basis of the product of varieties of {groups.~II}},
     journal = {Izvestiya. Mathematics},
     pages = {481--489},
     year = {1974},
     volume = {8},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1974_8_3_a2/}
}
TY  - JOUR
AU  - Yu. G. Kleiman
TI  - On a basis of the product of varieties of groups. II
JO  - Izvestiya. Mathematics
PY  - 1974
SP  - 481
EP  - 489
VL  - 8
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/IM2_1974_8_3_a2/
LA  - en
ID  - IM2_1974_8_3_a2
ER  - 
%0 Journal Article
%A Yu. G. Kleiman
%T On a basis of the product of varieties of groups. II
%J Izvestiya. Mathematics
%D 1974
%P 481-489
%V 8
%N 3
%U http://geodesic.mathdoc.fr/item/IM2_1974_8_3_a2/
%G en
%F IM2_1974_8_3_a2
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/

[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