On the splitting of groups of central group extensions
Matematičeskie zametki, Tome 6 (1969) no. 2, pp. 197-200
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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 $G$.
@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},
publisher = {mathdoc},
volume = {6},
number = {2},
year = {1969},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_2_a7/}
}
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/