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On solvability of groups with a finite nilpotent supercomplemented subgroup

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Abstract

We investigate groups in which every subgroup containing some fixed finite nilpotent subgroup has a complement.

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Authors and Affiliations

  1. National Pedagogical Dragomanov University, Kiev, Ukraine

    D. Ya. Trebenko

  2. Kiev State Maritime Academy, Kiev, Ukraine

    O. A. Trebenko

Authors
  1. D. Ya. Trebenko
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  2. O. A. Trebenko
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Corresponding author

Correspondence to D. Ya. Trebenko.

Additional information

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 15, No. 7, pp. 229–234, 2009.

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Trebenko, D.Y., Trebenko, O.A. On solvability of groups with a finite nilpotent supercomplemented subgroup. J Math Sci 169, 713–716 (2010). https://doi.org/10.1007/s10958-010-0072-1

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  • DOI: https://doi.org/10.1007/s10958-010-0072-1

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