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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2020, Number 68, Pages 23–32
DOI: https://doi.org/10.17223/19988621/68/2
(Mi vtgu811)
 

This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

On determinability of a completely decomposable rank $2$ group by its automorphism group

V. K. Vildanova, V. A. Gaidakb, E. A. Timoshenkob

a Lobachevsky State University of Nizhni Novgorod, Nizhni Novgorod, Russian Federation
b Tomsk State University, Tomsk, Russian Federation
Full-text PDF (457 kB) Citations (2)
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Abstract: Necessary and sufficient conditions are found under which two completely decomposable torsion-free Abelian groups of rank $2$ have isomorphic automorphism groups. An answer is obtained to the question of under what conditions a completely decomposable Abelian group of rank $2$ is uniquely determined by its group of automorphisms.
Keywords: matrix, involution, completely decomposable group, automorphism group.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation МД-108.2020.1
The research was supported by the President of the Russian Federation Grant for young Russian scientists MD-108.2020.1.
Received: 26.07.2020
Bibliographic databases:
Document Type: Article
UDC: 512.54
MSC: 15B33, 20H25, 20K15
Language: Russian
Citation: V. K. Vildanov, V. A. Gaidak, E. A. Timoshenko, “On determinability of a completely decomposable rank $2$ group by its automorphism group”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2020, no. 68, 23–32
Citation in format AMSBIB
\Bibitem{VilGaiTim20}
\by V.~K.~Vildanov, V.~A.~Gaidak, E.~A.~Timoshenko
\paper On determinability of a completely decomposable rank $2$ group by its automorphism group
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2020
\issue 68
\pages 23--32
\mathnet{http://mi.mathnet.ru/vtgu811}
\crossref{https://doi.org/10.17223/19988621/68/2}
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  • This publication is cited in the following 2 articles:
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