Geodesic
Homomorphic images of Abelian groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 5, pp. 67-76

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For some classes of Abelian groups, an answer to the following question is presented: when the union of homomorphic images of a group is a subgroup of another group? In connection with this, the concept of a homomorphically stable group is introduced, and homomorphic stability of groups from different classes of Abelian groups is studied. 
@article{FPM_2008_14_5_a2,
     author = {S. Ya. Grinshpon and T. A. Yeltsova},
     title = {Homomorphic images of {Abelian} groups},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {67--76},
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     number = {5},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2008_14_5_a2/}
}
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S. Ya. Grinshpon; T. A. Yeltsova. Homomorphic images of Abelian groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 5, pp. 67-76. http://geodesic.mathdoc.fr/item/FPM_2008_14_5_a2/