Matematičeskie zametki, Tome 13 (1973) no. 3, pp. 443-446
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N. F. Sesekin. On the product of finitely generated Abelian groups. Matematičeskie zametki, Tome 13 (1973) no. 3, pp. 443-446. http://geodesic.mathdoc.fr/item/MZM_1973_13_3_a14/
@article{MZM_1973_13_3_a14,
author = {N. F. Sesekin},
title = {On the product of finitely generated {Abelian} groups},
journal = {Matemati\v{c}eskie zametki},
pages = {443--446},
year = {1973},
volume = {13},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_3_a14/}
}
TY - JOUR
AU - N. F. Sesekin
TI - On the product of finitely generated Abelian groups
JO - Matematičeskie zametki
PY - 1973
SP - 443
EP - 446
VL - 13
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1973_13_3_a14/
LA - ru
ID - MZM_1973_13_3_a14
ER -
%0 Journal Article
%A N. F. Sesekin
%T On the product of finitely generated Abelian groups
%J Matematičeskie zametki
%D 1973
%P 443-446
%V 13
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1973_13_3_a14/
%G ru
%F MZM_1973_13_3_a14
It is shown that if a group $G$ is a product of Abelian subgroups $A$ and $B$ one of which is finitely generated, then the group $G$ will have a nontrivial normal subgroup that is contained either in $A$, or in $B$.
