Geodesic
Abelian groups that are small with respect to different classes of groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 5, pp. 55-65.

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In this paper, we study Abelian groups that are small with respect to different classes of groups. Completely decomposable torsion free groups that are small with respect to an arbitrary class of torsion free groups are described completely. Direct products of groups small with respect to the class of slender groups are derived. 
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S. Ya. Grinshpon; I. V. Gerdt. Abelian groups that are small with respect to different classes of groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 5, pp. 55-65. http://geodesic.mathdoc.fr/item/FPM_2008_14_5_a1/

[1] Gerdt I. V., “Malye abelevy gruppy”, Fundament. i prikl. mat., 13:3 (2007), 3–8

[2] Feis K., Algebra: koltsa, moduli i kategorii, T. 1, Mir, M., 1977

[3] Fuks L., Beskonechnye abelevy gruppy, T. 1, Mir, M., 1974

[4] Fuks L., Beskonechnye abelevy gruppy, T. 2, Mir, M., 1977