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Indecomposable p-Local Torsion-Free Groups with Quadratic and Cubic Splitting Fields

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Abstract

Indecomposable torsion-free p-local Abelian groups of finite rank with quadratic and cubic splitting field K are characterized. As a consequence, for groups with quadratic splitting field K it is proved that K-decomposable p-local torsion-free Abelian groups of finite rank are isomorphic if and only if their endomorphism rings are isomorphic.

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Authors and Affiliations

  1. Moscow State Pedagogical University, Moscow, Russia

    S. V. Vershina

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  1. S. V. Vershina
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Correspondence to S. V. Vershina.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 20, No. 5, pp. 17–29, 2015.

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Vershina, S.V. Indecomposable p-Local Torsion-Free Groups with Quadratic and Cubic Splitting Fields. J Math Sci 230, 364–371 (2018). https://doi.org/10.1007/s10958-018-3741-0

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  • DOI: https://doi.org/10.1007/s10958-018-3741-0

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