Matematičeskie zametki, Tome 19 (1976) no. 1, pp. 91-98
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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/
@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},
year = {1976},
volume = {19},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1976_19_1_a9/}
}
TY - JOUR
AU - N. G. Shakhova
TI - Nilpotency class of a free group of the product of certain varieties
JO - Matematičeskie zametki
PY - 1976
SP - 91
EP - 98
VL - 19
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1976_19_1_a9/
LA - ru
ID - MZM_1976_19_1_a9
ER -
%0 Journal Article
%A N. G. Shakhova
%T Nilpotency class of a free group of the product of certain varieties
%J Matematičeskie zametki
%D 1976
%P 91-98
%V 19
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1976_19_1_a9/
%G ru
%F MZM_1976_19_1_a9
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