Geodesic
On varieties of $n$-solvable groups
Matematičeskie zametki, Tome 4 (1968) no. 6, pp. 629-634 
V. M. Kotlov. On varieties of $n$-solvable groups. Matematičeskie zametki, Tome 4 (1968) no. 6, pp. 629-634. http://geodesic.mathdoc.fr/item/MZM_1968_4_6_a1/
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     author = {V. M. Kotlov},
     title = {On varieties of $n$-solvable groups},
     journal = {Matemati\v{c}eskie zametki},
     pages = {629--634},
     year = {1968},
     volume = {4},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_6_a1/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A new and shorter proof is given for the fundamental theorem of Kaluzhnin's recent note [1]: A variety of $n$-Abelian groups is the sum of a variety of Abelian groups and the respective Burnside varieties of groups of exponent $n$ and $1-n$. This theorem is extended to varieties of $n$-solvable groups.