Skip to main content
SpringerLink
Log in

Subgroups of a finite group commuting with biprimary subgroups

  • Published:
Mathematical Notes Aims and scope Submit manuscript

Abstract

The solvability of H/H G is established under the assumption that a subgroup H of a finite group G commutes with all biprimary subgroups of even order.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. V. S. Monakhov, Introduction to the Theory of Finite Groups and Their Classes (Vysheishaya Shkola, Minsk, 2006) [in Russian].

    Google Scholar 

  2. L. A. Shemetkov, Formations of Finite Groups, in Modern Algebra (Nauka, Moscow, 1978) [in Russian].

    Google Scholar 

  3. B. Huppert, Endliche Gruppen Vol. I, in Grundlehren Math. Wiss. (Springer-Verlag, Berlin, 1967), Vol. 134.

    Google Scholar 

  4. É. M. Pal’chik, “On b-quasinormal subgroups,” Dokl. Akad. Nauk BSSR 11(11), 967–969 (1967) [in Russian].

    Google Scholar 

  5. Ya.G. Berkovich [Berkovič] and É. M. Pal’chik [Pal’čik], “Permutability of subgroups of a finite group,” Sibirsk. Mat. Z. 8(4), 741–753 (1967) [in Russian].

    MathSciNet  Google Scholar 

  6. M. Suzuki, Group Theory Vol. II, in Grundlehren Math. Wiss. (Springer-Verlag, New York, 1986).

    Google Scholar 

  7. N. Itô and J. Szép, “Über die Quasinormalteiler von endlichen Gruppen,” Acta Sci. Math. (Szeged) 23, 168–170 (1962).

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Gomel Engineering Institute, Ministry of Extraordinary Situations of the Republic of Belarus, Gomel, Russia

    V. N. Knyagina

  2. Gomel State University, Gomel, Russia

    V. S. Monakhov

Authors
  1. V. N. Knyagina
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. S. Monakhov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. N. Knyagina.

Additional information

Original Russian Text © V. N. Knyagina, V. S. Monakhov, 2011, published in Matematicheskie Zametki, 2011, Vol. 89, No. 4, pp. 524–529.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Knyagina, V.N., Monakhov, V.S. Subgroups of a finite group commuting with biprimary subgroups. Math Notes 89, 499–503 (2011). https://doi.org/10.1134/S0001434611030217

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0001434611030217

Keywords

Search

Navigation