FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 8, PAGES 77-94

Warfield's duality and Malcev's matrix

J. V. Kostromina

Abstract

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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 $Hom(R,G)$ and $Hom(G,R)$, where $G$ is a locally free group and $R$ is a torsion-free group of rank $1$.

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Last modified: March 23, 2013