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.
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
\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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https://www.mathnet.ru/eng/vtgu/y2020/i68/p23
This publication is cited in the following 2 articles:
K. K. Maevskii, “Modeling periclase behavior under high-energy impact”, Combustion, Explosion and Shock Waves, 60:2 (2024), 260–268
E. A. Timoshenko, I. V. Tretyakov, “Opredelyaemost vpolne razlozhimoi gruppy ranga 3 ee gruppoi avtomorfizmov”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2022, no. 76, 32–42
Citation in format AMSBIB
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