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Warfield’s Duality and Malcev’s Matrix

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 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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Correspondence to J. V. Kostromina.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 17, No. 8, pp. 77–94, 2011/12.

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Kostromina, J.V. Warfield’s Duality and Malcev’s Matrix. J Math Sci 197, 635–648 (2014). https://doi.org/10.1007/s10958-014-1746-x

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Keywords

  • Abelian Group
  • Prime Number
  • Residue Class
  • Normal Matrice
  • Isomorphic Group