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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2013, Number 3(23), Pages 23–33 (Mi vtgu316)  
MATHEMATICS

Torsion free abelian groups normally determined by their holomorphs

S. Ya. Grinshpona, I. E. Grinshponb

a Tomsk State University
b Tomsk State University of Control Systems and Radioelectronics
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Abstract: In this paper, we study homogeneously decomposable into direct sums torsion free abelian groups that are normally determined by their holomorphs. Properties of normal abelian subgroups of holomorphs of torsion free abelian groups are also studied.
Keywords: holomorph, almost holomorphically isomorphic groups, completely decomposable group, homogeneous group, type of a group.
Received: 13.03.2013
Document Type: Article
UDC: 512.541
Language: Russian
Citation: S. Ya. Grinshpon, I. E. Grinshpon, “Torsion free abelian groups normally determined by their holomorphs”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2013, no. 3(23), 23–33
Citation in format AMSBIB
\Bibitem{GriGri13}
\by S.~Ya.~Grinshpon, I.~E.~Grinshpon
\paper Torsion free abelian groups normally determined by their holomorphs
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2013
\issue 3(23)
\pages 23--33
\mathnet{http://mi.mathnet.ru/vtgu316}
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