DETERMINABILITY OF COMPLETELY DECOMPOSABLE TORSION-FREE ABELIAN GROUP OF RANK 2 BY ITS AUTOMORPHISM GROUP
The determinability of a group by its automorphism group is considered for some classes of abelian groups. A criterion of determinability of the group of rank 2 by its automorphism group has been obtained in the class of completely decomposable torsion-free abelian groups.