Email this article Normal Determinability of Torsion-Free Abelian Groups by Their Holomorphs
- Authors: Grinshpon S.Y.1, Grinshpon I.E.2
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Affiliations:
- Tomsk State University
- Tomsk State University of Control Systems and Radioelectronics
- Issue: Vol 230, No 3 (2018)
- Pages: 377-388
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240686
- DOI: https://doi.org/10.1007/s10958-018-3743-y
- ID: 240686
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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.
About the authors
S. Ya. Grinshpon
Tomsk State University
Author for correspondence.
Email: grinshpon@math.tsu.ru
Russian Federation, Tomsk
I. E. Grinshpon
Tomsk State University of Control Systems and Radioelectronics
Author for correspondence.
Email: irina-grinshpon@yandex.ru
Russian Federation, Tomsk
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