Geodesic
Nilpotency class of a~free group of the product of certain varieties
Matematičeskie zametki, Tome 19 (1976) no. 1, pp. 91-98.

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In this paper we calculate the class of a free group of finite rank of the product of two varieties, where the left factor is the variety of all Abelian groups of exponent $p^n$ and the right is the variety of all nilpotent groups of class at most $c$ and exponent $p^t$ (where $c$). 
@article{MZM_1976_19_1_a9,
     author = {N. G. Shakhova},
     title = {Nilpotency class of a~free group of the product of certain varieties},
     journal = {Matemati\v{c}eskie zametki},
     pages = {91--98},
     publisher = {mathdoc},
     volume = {19},
     number = {1},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1976_19_1_a9/}
}
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N. G. Shakhova. Nilpotency class of a~free group of the product of certain varieties. Matematičeskie zametki, Tome 19 (1976) no. 1, pp. 91-98. http://geodesic.mathdoc.fr/item/MZM_1976_19_1_a9/