Geodesic
Arnold's duality and Malcev's matrices
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2012), pp. 23-28 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this work we investigate the relations between Malcev's matrices of a quotient divisible group $G$ and Malcev's matrices of a group that is dual to the group $G$ in the sense of D. Arnold.
Keywords: abelian group
Mots-clés : quotient divisible group, Malcev's matrices. 
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     author = {Ju. V. Kostromina},
     title = {Arnold's duality and {Malcev's} matrices},
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}
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Ju. V. Kostromina. Arnold's duality and Malcev's matrices. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2012), pp. 23-28. http://geodesic.mathdoc.fr/item/VTGU_2012_2_a2/

[1] Maltsev A. I., “Abelevy gruppy konechnogo ranga bez krucheniya”, Matem. sb., 4(46):1 (1938), 45–68 | Zbl

[2] Fomin A. A., “Kategoriya matrits, predstavlyayuschaya dve kategorii abelevykh grupp”, Fundamentalnaya i prikladnaya matematika, 13:3 (2007), 223–244 | MR | Zbl

[3] Arnold D., “A duality for quotient divisible abelian groups of finite rank”, Pacific J. of Math., 42:1 (1972), 11–15 | DOI | MR | Zbl