Skip to main content
SpringerLink
Log in

Doubly primitive vertex stabilisers in graphs

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

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

References

  1. Aschbacher, M.: The non-existence of rank three permutation groups of degree 3250 and subdegree 57. J. Algebra19, 538–540 (1971)

    Google Scholar 

  2. Cameron, P.: Proofs of some theorems of Manning. Bull. London math. Soc.1, 349–352 (1969)

    Google Scholar 

  3. Gardiner, A.: Arc transitivity in graphs. Quart. J. Math. Oxford, II. Ser.24, 399–407 (1973)

    Google Scholar 

  4. Gardiner, A.: Arc transitivity in graphs II. Quart. J. Math. Oxford, to appear

  5. Haring, C., Kantor, W.M., Seitz, G.: Finite groups with a split BN-pair of rank 1. J. Algebra20, 345–394 (1972)

    Google Scholar 

  6. Hoffman, A., Singleton, R.: On Moore graphs of diameters 2 and 3. IBM J. Res. Develop.4, 497–504 (1960)

    Google Scholar 

  7. Manning, W.A.: A theorem concerning simply transitive permutation groups. Bull. Amer. math. Soc.35, 330–332 (1929)

    Google Scholar 

  8. Quirin, W.L.: Extensions of some results of Manning and Wielandt on primitive permutation groups. Math. Z.123, 223–230 (1971)

    Google Scholar 

  9. Sims, C.C.: Graphs and finite permutation groups. Math. Z.95, 76–86 (1967)

    Google Scholar 

  10. Singleton, R.: On minimal graphs of maximum even girth. J. Combinat. Theory1, 306–332 (1966)

    Google Scholar 

  11. Ward, H.N.: On Ree's series of simple groups. Trans. Amer. math. Soc.121, 62–89 (1966)

    Google Scholar 

  12. Wielandt, H.: Finite permutation groups. New York: Academic Press 1964

    Google Scholar 

  13. Wong, W.J.: Determination of a class of primitive permutation groups. Math. Z.99, 235–246 (1967)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Pure Mathematics, The University of Birmingham, Birmingham, England

    Anthony Gardiner

Authors
  1. Anthony Gardiner
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gardiner, A. Doubly primitive vertex stabilisers in graphs. Math Z 135, 257–266 (1974). https://doi.org/10.1007/BF01215029

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01215029

Search

Navigation