Geodesic
FC groups whose periodic parts can be embedded in direct products of finite groups
Matematičeskie zametki, Tome 21 (1977) no. 1, pp. 9-20.

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In this note are considered $FC$ groups whose periodic parts can be embedded in direct products of finite groups. It is shown that if the periodic part of an $FC$ group $G$ can be embedded in the direct product of its finite factor groups with respect to the normal subgroups of $G$ whose intersection is the trivial subgroup, then $G/Z(G)$ is a subgroup of a direct product of finite groups. It is also shown that if the periodic part of an $FC$ group $G$ is a group without a center, then $G$ can be embedded in a direct product of finite groups without centers and a torsion-free Abelian group. 
@article{MZM_1977_21_1_a1,
     author = {L. A. Kurdachenko},
     title = {FC groups whose periodic parts can be embedded in direct products of finite groups},
     journal = {Matemati\v{c}eskie zametki},
     pages = {9--20},
     publisher = {mathdoc},
     volume = {21},
     number = {1},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_21_1_a1/}
}
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L. A. Kurdachenko. FC groups whose periodic parts can be embedded in direct products of finite groups. Matematičeskie zametki, Tome 21 (1977) no. 1, pp. 9-20. http://geodesic.mathdoc.fr/item/MZM_1977_21_1_a1/