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On Determinability of a Completely Decomposable Torsion-Free Abelian Group by its Automorphism Group

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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 torsion-free Abelian groups whose direct summands of… Click to show full abstract

In this paper, we consider the question of determinability of an Abelian group by its automorphism group in the class of completely decomposable torsion-free Abelian groups whose direct summands of rank 1 have idempotent types.

Keywords: abelian group; decomposable torsion; group; automorphism group; group automorphism; completely decomposable

Journal Title: Journal of Mathematical Sciences
Year Published: 2018

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