Skip to main content
Log in

Finite groups with Hall supplements to primitive subgroups

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

Abstract

Using the classification of finite simple groups, we establish the solvability of every finite group with solvable Hall supplements to primitive subgroups. We prove also that if those supplements are Ore dispersive then so is the group itself.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Johnson D. L., “A note on supersoluble groups,” Canad. J. Math., 23, No. 3, 562–564 (1971).

    MATH  MathSciNet  Google Scholar 

  2. Kondrat’ev V. A., “Solvability of finite coatomic groups,” Mat. Zametki, 47, No. 1, 92–97 (1990).

    MathSciNet  Google Scholar 

  3. Huppert B., Endliche Gruppen. I, Springer-Verlag, Berlin; Heidelberg; New York (1967).

    MATH  Google Scholar 

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

    MATH  Google Scholar 

  5. Baumeister B., “A characterization of finite soluble groups,” Arch. Math., 72, No. 3, 167–176 (1999).

    Article  MATH  MathSciNet  Google Scholar 

  6. Gaschutz W., Lectures on Subgroups of Sylow Type in Finite Soluble Groups, Australian National Univ., Canberra (1979) (Notes Pure Math; 11).

    Google Scholar 

  7. Nagrebetskii V. T., “On minimal nonsupersoluble finite groups,” in: Finite Groups, Nauka i Tekhnika, Minsk, 1975, pp. 104–108.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text Copyright © 2007 Monakhov V. S.

__________

Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 48, No. 2, pp. 359–368, March–April, 2007.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Monakhov, V.S. Finite groups with Hall supplements to primitive subgroups. Sib Math J 48, 288–294 (2007). https://doi.org/10.1007/s11202-007-0029-x

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11202-007-0029-x

Keywords

Navigation