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On 𝜎-Subnormal Subgroups of Finite 3'-Groups

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Ukrainian Mathematical Journal Aims and scope

For any partition 𝜎 of the set ℙ of all primes, it is proved that if every complete Hall set of type 𝜎 for a finite 3'-group G is reducible into a certain subgroup H of G, then H is 𝜎-subnormal in G.

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Author information

Authors and Affiliations

  1. F. Skorina Gomel State University, Gomel, Belarus

    S. F. Kamornikov

  2. Gomel Branch of the “MITSO” International University, Gomel, Belarus

    V. N. Tyutyanov

Authors
  1. S. F. Kamornikov
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  2. V. N. Tyutyanov
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Corresponding author

Correspondence to S. F. Kamornikov.

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, No. 6, pp. 806–811, June, 2020. Ukrainian DOI: 10.37863/umzh.v72i6.1037.

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Kamornikov, S.F., Tyutyanov, V.N. On 𝜎-Subnormal Subgroups of Finite 3'-Groups. Ukr Math J 72, 935–941 (2020). https://doi.org/10.1007/s11253-020-01833-7

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  • DOI: https://doi.org/10.1007/s11253-020-01833-7

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