Matematičeskie zametki, Tome 6 (1969) no. 2, pp. 197-200
Citer cet article
A. I. Moskalenko. On the splitting of groups of central group extensions. Matematičeskie zametki, Tome 6 (1969) no. 2, pp. 197-200. http://geodesic.mathdoc.fr/item/MZM_1969_6_2_a7/
@article{MZM_1969_6_2_a7,
author = {A. I. Moskalenko},
title = {On the splitting of groups of central group extensions},
journal = {Matemati\v{c}eskie zametki},
pages = {197--200},
year = {1969},
volume = {6},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_2_a7/}
}
TY - JOUR
AU - A. I. Moskalenko
TI - On the splitting of groups of central group extensions
JO - Matematičeskie zametki
PY - 1969
SP - 197
EP - 200
VL - 6
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1969_6_2_a7/
LA - ru
ID - MZM_1969_6_2_a7
ER -
%0 Journal Article
%A A. I. Moskalenko
%T On the splitting of groups of central group extensions
%J Matematičeskie zametki
%D 1969
%P 197-200
%V 6
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1969_6_2_a7/
%G ru
%F MZM_1969_6_2_a7
It is proved that if $G$ and $V$ are abelian groups, sthen the group $\operatorname{Ext}(G, V)$ of all abelian extensions of the group $V$ with the aid of the group $G$ is extracted by the direct component in the group $\operatorname{Opext}(G,V)$ of all central extensions of $V$ with the aid of $G$.
