Skip to main content
Log in

Parabolic permutation representations of the groups2 F 4(q) and3 D 4(q 3)

  • Published:
Mathematical Notes Aims and scope Submit manuscript

Abstract

In the paper, the ranks, degrees, subdegrees, and double centralizers of permutation representations of the bounded groups2 F 4(q) and3 D 4(q 3) with respect to parabolic maximal subgroups of nonminimal index are found.

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. A. S. Kondrat’ev, “Subgroups of finite Chevalley groups,”Uspekhi Mat. Nauk [Russian Math. Surveys],41, No. 1 (247), 57–96 (1986).

    Google Scholar 

  2. B. N. Cooperstein, “Minimal degree for a permutation representation of a classical group,”Israel J. Math.,30, No. 3, 213–235 (1978).

    MATH  Google Scholar 

  3. M. W. Liebeck and J. Saxl, “On the orders of maximal subgroups of the finite exceptional groups of Lie type,”Proc. London Math. Soc.,55, 299–330 (1987).

    Article  MATH  Google Scholar 

  4. A. V. Vasil’ev, “Minimal permutation representations of finite simple exceptional groups of twisted type,”Algebra i Logika [Algebra and Logic],37, No. 1, 17–35 (1998).

    MATH  Google Scholar 

  5. R. W. Carter,Simple Groups of Life Type, Wiley, London (1972).

    Google Scholar 

  6. R. Ree, “A family of simple groups associated with the simple Lie algebra of type (F 4),”Amer. J. Math.,83, 401–420 (1961).

    Article  MATH  Google Scholar 

  7. K. Shinoda, “A characterization of odd order extension of Ree groups2 F 4(q),”J. Fac. Sci. Univ. Tokyo,22, 79–102 (1975).

    MATH  Google Scholar 

  8. R. Steinberg,Lectures on Chevalley Groups, Yale Univ. Math. Dept. (1968).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated fromMatematicheskie Zametki, Vol. 67, No. 1, pp. 69–76, January, 2000.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Korableva, V.V. Parabolic permutation representations of the groups2 F 4(q) and3 D 4(q 3). Math Notes 67, 55–60 (2000). https://doi.org/10.1007/BF02675792

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02675792

Key words

Navigation