Abstract
We investigate torsion-free Abelian groups that are decomposable into direct sums or direct products of homogeneous groups normally defined by their holomorphs. Properties of normal Abelian subgroups of holomorphs of torsion-free Abelian groups are also studied.
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 20, No. 5, pp. 39–55, 2015.
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Grinshpon, S.Y., Grinshpon, I.E. Normal Determinability of Torsion-Free Abelian Groups by Their Holomorphs. J Math Sci 230, 377–388 (2018). https://doi.org/10.1007/s10958-018-3743-y
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DOI: https://doi.org/10.1007/s10958-018-3743-y