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Abelian groups that are small with respect to different classes of groups

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Abstract

In this paper, we study Abelian groups that are small with respect to different classes of groups. Completely decomposable torsion free groups that are small with respect to an arbitrary class of torsion free groups are described completely. Direct products of groups small with respect to the class of slender groups are derived.

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References

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Authors and Affiliations

  1. Tomsk State University, Tomsk, Russia

    S. Ya. Grinshpon

  2. Tomsk State University of Control Systems and Radioelectronics, Tomsk, Russia

    I. V. Gerdt

Authors
  1. S. Ya. Grinshpon
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  2. I. V. Gerdt
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Corresponding author

Correspondence to S. Ya. Grinshpon.

Additional information

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 14, No. 5, pp. 55–65, 2008.

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Grinshpon, S.Y., Gerdt, I.V. Abelian groups that are small with respect to different classes of groups. J Math Sci 163, 662–669 (2009). https://doi.org/10.1007/s10958-009-9701-y

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  • DOI: https://doi.org/10.1007/s10958-009-9701-y

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