Skip to main content
Log in

On minimal degrees and base sizes of primitive permutation groups

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

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.

References

  1. L. Babai, On the order of uniprimitive permutation groups. Ann. Math.113, 553–568 (1981).

    Google Scholar 

  2. P. J. Cameron, Finite permutation groups and finite simple groups. Bull. London Math. Soc.13, 1–22 (1981).

    Google Scholar 

  3. P. J. Cameron, C. E. Praeger, J. Saxl andG. M. Seitz, On the Sims conjecture and distance transitive graphs. Bull. London Math. Soc.15, 499–506 (1983).

    Google Scholar 

  4. P. J.Cameron, P. M.Neumann and J.Saxl, On groups with no regular orbits on the set of subsets. Preprint.

  5. J. H.Conway et al., An Atlas of Finite Groups. To appear.

  6. B. N. Cooperstein, Minimal degree for a permutation representation of a classical group. Israel J. Math.30, 213–235 (1978).

    Google Scholar 

  7. W. M. Kantor, Permutation representations of the finite classical groups of small degree or rank. J. Algebra60, 158–168 (1979).

    Google Scholar 

  8. V. Landazuri andG. M. Seitz, On the minimal degrees of projective representations of the finite Chevalley groups. J. Algebra32, 418–443 (1974).

    Google Scholar 

  9. H.Wielandt, Finite permutation groups. New York-London 1964.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liebeck, M.W. On minimal degrees and base sizes of primitive permutation groups. Arch. Math 43, 11–15 (1984). https://doi.org/10.1007/BF01193603

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01193603

Keywords

Navigation