S. Ya. Grinshpon, I. E. Grinshpon, “Normal determinability of torsion-free Abelian groups by their holomorphs”, Fundam. Prikl. Mat., 20:5 (2015), 39–55; J. Math. Sci., 230:3 (2018), 377

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Fundamentalnaya i Prikladnaya Matematika, 2015, Volume 20, Issue 5, Pages 39–55 (Mi fpm1667)

Normal determinability of torsion-free Abelian groups by their holomorphs

S. Ya. Grinshpon^a, I. E. Grinshpon^b

^a Tomsk State University
^b Tomsk State University of Control Systems and Radioelectronics

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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.

English version:
Journal of Mathematical Sciences (New York), 2018, Volume 230, Issue 3, Pages 377–388
DOI: https://doi.org/10.1007/s10958-018-3743-y

Bibliographic databases:

Document Type: Article

UDC: 512.541

Language: Russian

Citation: S. Ya. Grinshpon, I. E. Grinshpon, “Normal determinability of torsion-free Abelian groups by their holomorphs”, Fundam. Prikl. Mat., 20:5 (2015), 39–55; J. Math. Sci., 230:3 (2018), 377–388

Citation in format AMSBIB

\Bibitem{GriGri15}

\by S.~Ya.~Grinshpon, I.~E.~Grinshpon

\paper Normal determinability of torsion-free Abelian groups by their holomorphs

\jour Fundam. Prikl. Mat.

\yr 2015

\vol 20

\issue 5

\pages 39--55

\mathnet{http://mi.mathnet.ru/fpm1667}

\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3589142}

\transl

\jour J. Math. Sci.

\yr 2018

\vol 230

\issue 3

\pages 377--388

\crossref{https://doi.org/10.1007/s10958-018-3743-y}

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https://www.mathnet.ru/eng/fpm/v20/i5/p39

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