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Normal Determinability of Torsion-Free Abelian Groups by Their Holomorphs

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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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Authors and Affiliations

  1. Tomsk State University, Tomsk, Russia

    S. Ya. Grinshpon

  2. Tomsk State University of Control Systems and Radioelectronics, Tomsk, Russia

    I. E. Grinshpon

Authors
  1. S. Ya. Grinshpon
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  2. I. E. Grinshpon
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Corresponding authors

Correspondence to S. Ya. Grinshpon or I. E. Grinshpon.

Additional information

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

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