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Criteria for \( \sigma \)-Solvability and Meta-\( \sigma \)-Nilpotency of a Finite Group

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Abstract

We study some conditions for a group to be \( \sigma \)-solvable or meta-\( \sigma \)-nilpotent.

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Acknowledgments

The authors are grateful to the referee for remarks and useful suggestions that helped improving the paper.

Funding

The second author was supported by the State Program for Scientific Research of the Republic of Belarus “Convergence–2025” (Project 20211328).

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Authors and Affiliations

  1. Bryansk State Agrarian University, Kokino, Russia

    V. N. Ryzhik

  2. Belarusian State University, Minsk, Belarus

    I. N. Safonova

Authors
  1. V. N. Ryzhik
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  2. I. N. Safonova
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Corresponding author

Correspondence to V. N. Ryzhik.

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, 2021, Vol. 62, No. 6, pp. 1369–1381. https://doi.org/10.33048/smzh.2021.62.612

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Ryzhik, V.N., Safonova, I.N. Criteria for \( \sigma \)-Solvability and Meta-\( \sigma \)-Nilpotency of a Finite Group. Sib Math J 62, 1110–1118 (2021). https://doi.org/10.1134/S0037446621060124

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  • DOI: https://doi.org/10.1134/S0037446621060124

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