Skip to main content
Springer Nature Link
Log in

On one Shemetkov problem

  • Published:
Ukrainian Mathematical Journal Aims and scope

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

This work is devoted to the investigation of the structure of superradical formations.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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. T. Hawkes, “On Fitting formations,” Math. Z., 117, 177–182 (1970).

    Article  MathSciNet  MATH  Google Scholar 

  2. R. A. Bryce and J. Cossey, “Fitting formations of finite soluble groups,” Math. Z., 127, No. 3, 217–233 (1972).

    Article  MathSciNet  MATH  Google Scholar 

  3. V. N. Semenchuk, “Solvable totally local formations,” Sib. Mat. Zh., 36, No. 4, 861–872 (1995).

    Article  MathSciNet  Google Scholar 

  4. V. N. Semenchuk, “On solvable totally local formations,” Vopr. Alg., No. 11, 109–115 (1997).

  5. Kourovka Notebook (Unsolved Problems in Group Theory) [in Russian], Institute of Mathematics, Academy of Sciences of the USSR, Siberian Division, Novosibirsk (1992).

  6. V. N. Semenchuk, “Solvable \( \mathfrak{F} \)-radical formations,” Mat. Zametki, 59, No. 1, 261–266 (1996).

    Article  MathSciNet  Google Scholar 

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

    Google Scholar 

  8. K. Doerk, Finite Soluble Groups, de Gruyter, Berlin (1992).

    Book  MATH  Google Scholar 

  9. V. N. Semenchuk, “Characterization of local formations \( \mathfrak{F} \) on the basis of given properties of minimal non-\( \mathfrak{F} \)-groups,” in: Investigation of Normal and Subgroup Structure of Finite Groups [in Russian], Nauka i Tekhnika, Minsk (1984), pp. 175–181.

    Google Scholar 

  10. S. F. Kamornikov, “On two Shemetkov problems,” Sib. Mat. Zh., 35, No. 4, 801–812 (1994).

    Article  MathSciNet  Google Scholar 

  11. A. N. Skiba, “On one class of local formations of finite groups,” Dokl. Akad. Nauk Bel. SSR, 34, No. 11, 382–385 (1990).

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Skorina Gomel State University, Gomel, Belarus

    V. F. Velesnitskii & V. N. Semenchuk

Authors
  1. V. F. Velesnitskii
    View author publications

    You can also search for this author inPubMed Google Scholar

  2. V. N. Semenchuk
    View author publications

    You can also search for this author inPubMed Google Scholar

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 9, pp. 1282–1288, September, 2012.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Velesnitskii, V.F., Semenchuk, V.N. On one Shemetkov problem. Ukr Math J 64, 1457–1463 (2013). https://doi.org/10.1007/s11253-013-0728-3

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11253-013-0728-3

Keywords