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Warfield's duality and Malcev's matrix

J. V. Kostromina

Moscow State Pedagogical University

Abstract: In this work, we investigate relations between Malcev's matrices of a torsion-free group $G$ of finite rank and Malcev's matrices of groups $\operatorname{Hom}(R,G)$ and $\operatorname{Hom}(G,R)$, where $G$ is a locally free group and $R$ is a torsion-free group of rank 1.

UDC: 512.541

 English version: Journal of Mathematical Sciences (New York), 2014, 197:5, 635–648

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