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Nonperiodic Locally Soluble Groups with Non-Dedekind Locally Nilpotent Norm of Decomposable Subgroups

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Ukrainian Mathematical Journal Aims and scope

We study the relationships between the properties of nonperiodic groups and the norms of their decomposable subgroups. The influence of restrictions imposed on the norms of decomposable subgroups and on the properties of the group is analyzed under the condition that this norm is non-Dedekind and locally nilpotent. We also describe the structure of nonperiodic locally soluble groups for which the norm of decomposable subgroups possesses the indicated properties.

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Authors and Affiliations

  1. Makarenko Sumy State Pedagogic University, Sumy, Ukraine

    F. M. Lyman & T. D. Lukashova

Authors
  1. F. M. Lyman
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  2. T. D. Lukashova
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Corresponding author

Correspondence to T. D. Lukashova.

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, No. 11, pp. 1519–1528, November, 2019.

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Lyman, F.M., Lukashova, T.D. Nonperiodic Locally Soluble Groups with Non-Dedekind Locally Nilpotent Norm of Decomposable Subgroups. Ukr Math J 71, 1739–1750 (2020). https://doi.org/10.1007/s11253-020-01744-7

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  • DOI: https://doi.org/10.1007/s11253-020-01744-7

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