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Title of Article

DETERMINABILITY OF COMPLETELY DECOMPOSABLE TORSION-FREE ABELIAN GROUP OF RANK 2 BY ITS AUTOMORPHISM GROUP


Issue
3
Date
2011

Article type
scientific article
UDC
512.541
Pages
174-177
Keywords
torsion-free abelian group, automorphism group


Authors
Vildanov Vadim Kadirovich
Nizhegorodskiy gosudarstvennyy pedagogicheskiy universitet


Abstract
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.

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