Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika
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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2015, Number 4(36), Pages 41–45
DOI: https://doi.org/10.17223/19988621/36/5 (Mi vtgu470) 		 
MATHEMATICS

Relative holomorphs of free abelian groups and their invariant subgroups

A. V. Razina

Tomsk State University, Tomsk, Russian Federation
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DOI: https://doi.org/10.17223/19988621/36/5
Abstract: This article focuses on invariant subgroups of the relative holomorph of an abelian group. Some properties of an invariant subgroup of the relative holomorph are proved. We also prove that a free abelian group is determined by its relative holomorph.
Keywords: holomorph, relative holomorph, free abelian group, invariant subgroup, relative holomorphically isomorphic groups.
Received: 25.05.2015
Bibliographic databases:
Document Type: Article
UDC: 512.541
Language: Russian
Citation: A. V. Razina, “Relative holomorphs of free abelian groups and their invariant subgroups”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2015, no. 4(36), 41–45
Citation in format AMSBIB
\Bibitem{Raz15}
\by A.~V.~Razina
\paper Relative holomorphs of free abelian groups and their invariant subgroups
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2015
\issue 4(36)
\pages 41--45
\mathnet{http://mi.mathnet.ru/vtgu470}
\crossref{https://doi.org/10.17223/19988621/36/5}
\elib{https://elibrary.ru/item.asp?id=24132031}
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    		Вестник Томского государственного университета. Математика и механика
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