Geodesic
Determinability of a~completely decomposable block-rigid torsion-free Abelian group by its automorphism group
Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 8, pp. 13-19.

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In this paper, we consider the question of determinability of an Abelian group by its automorphism group in the class of completely decomposable block-rigid torsion-free Abelian groups. 
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V. K. Vildanov. Determinability of a~completely decomposable block-rigid torsion-free Abelian group by its automorphism group. Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 8, pp. 13-19. http://geodesic.mathdoc.fr/item/FPM_2012_17_8_a2/

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[2] O'Mira O., “Lektsii o lineinykh gruppakh”, Avtomorfizmy klassicheskikh grupp, Mir, M., 1976, 57–167 | MR

[3] Sebeldin A. M., “Polnye pryamye summy abelevykh grupp bez krucheniya ranga 1 s izomorfnymi gruppami ili koltsami endomorfizmov. I”, Mat. zametki, 14:6 (1973), 867–878 | MR | Zbl