Skip to main content
SpringerLink
Log in

On one class of superradical hereditary saturated formations

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

Abstract

Under study is some special class of hereditary saturated formations of finite groups. We analyze the role of these formations in the problem of a classification of all 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

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. Doerk K. and Hawkes T., Finite Soluble Groups, Walter de Gruyter, Berlin and New York (1992).

    Book  MATH  Google Scholar 

  2. Ballester-Bolinches A., “A note on saturated formations,” Arch. Math., 58, No. 2, 110–113 (1992).

    Article  MATH  MathSciNet  Google Scholar 

  3. Semenchuk V. N., “Characterization of Š-formations,” Voprosy Algebry, No. 7, 103–107 (1992).

    Google Scholar 

  4. Semenchuk V. N., “Solvable \(\mathfrak{F}\)-radical formations,” Math. Notes, 59, No. 2, 185–188 (1996).

    Article  MATH  MathSciNet  Google Scholar 

  5. Mazurov V. D. and Khukhro E. I. (Eds.), The Kourovka Notebook: Unsolved Problems in Group Theory, 16th ed., Sobolev Inst. Math., Novosibirsk (2006).

    Google Scholar 

  6. Semenchuk V. N. and Shemetkov L. A., “Superradical formations,” Dokl. Nats. Akad. Nauk Belarusi, 44, No. 5, 24–26 (2000).

    MathSciNet  Google Scholar 

  7. Semenchuk V. N. and Mokeeva O. A., “On problem of the classification of superradical formations,” Russian Math. (Izv. VUZ. Mat.), 52, No. 12, 60–64 (2008).

    Article  MATH  MathSciNet  Google Scholar 

  8. Kamornikov S. F. and Sel’kin V. M., Subgroup Functors and Classes of Finite Groups [in Russian], Belarusskaya Nauka, Minsk (2003).

    Google Scholar 

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

    Google Scholar 

  10. Gorenstein D., Finite Simple Groups. An Introduction to Their Classification, Plenum, New York (1982).

    MATH  Google Scholar 

  11. Liebeck M. W., Prager C. E., and Saxl J., “The maximal factorizations of the finite simple groups and their automorphism groups,” Amer. Math. Soc., 86, No. 432, 1–150 (1990).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. “MITSO” International University, Gomel, Belarus

    S. F. Kamornikov & V. N. Tyutyanov

Authors
  1. S. F. Kamornikov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. N. Tyutyanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. F. Kamornikov.

Additional information

Dedicated to the blessed memory of L. A. Shemetkov.

Original Russian Text Copyright © 2014 Kamornikov S.F. and Tyutyanov V.N.

__________

Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 55, No. 1, pp. 97–108, January–February, 2014.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kamornikov, S.F., Tyutyanov, V.N. On one class of superradical hereditary saturated formations. Sib Math J 55, 78–86 (2014). https://doi.org/10.1134/S0037446614010108

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0037446614010108

Keywords

Search

Navigation