Skip to main content
Log in

On automorphisms of a generalized octagon of order (2, 4)

  • Published:
Mathematical Notes Aims and scope Submit manuscript

Abstract

Possible orders and fixed-point subgraphs of automorphisms of a generalized octagon of order (2, 4) are found. The vertex-symmetric generalized octagon of order (2, 4) is proved to be classical.

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. P. J. Cameron, Permutation Groups, in London Math. Soc. Stud. Texts (Cambridge, Cambridge Univ. Press, 1999), Vol. 45.

    Google Scholar 

  2. A. A. Makhnev and D. V. Paduchikh, “Automorphisms of Aschbacher graphs,” Algebra i Logika 40(2), 125–134 (2001) [Algebra Logic 40 (2), 69–74 (2001)].

    MATH  MathSciNet  Google Scholar 

  3. A. A. Makhnev and V. V. Nosov, “On automorphisms of strongly regular graphs with λ = 0, μ = 2,” Matem. Sb. 195(3), 47–68 (2004) [Russian Acad. Sci. Sb.Math. 195 (3), 347–367 (2004)].

    MathSciNet  Google Scholar 

  4. A. A. Makhnev and I. M. Minakova, “On automorphisms of strongly regular graphs with parameters λ = 1, μ = 2,” Diskretn. Mat. 16(1), 95–104 (2004) [DiscreteMath. Appl. 14 (2), 201–210 (2004)].

    MATH  MathSciNet  Google Scholar 

  5. A. E. Brouwer, A. M. Cohen and A. Neumaier, Distance-Regular Graphs, in Ergeb. Math. Grenzgeb. (3) (Springer-Verlag, Berlin-Heidelberg-New York, 1989), Vol. 18.

    Google Scholar 

  6. P. J. Cameron and J. van Lint, Designs, Graphs, Codes, and Their Links, in London Math. Soc. Stud. Texts (Cambridge, Cambridge Univ. Press, 1991), Vol. 22.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to I. N. Belousov.

Additional information

Original Russian Text © I. N. Belousov, A. A. Makhnev, 2008, published in Matematicheskie Zametki, 2008, Vol. 84, No. 4, pp. 516–526.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Belousov, I.N., Makhnev, A.A. On automorphisms of a generalized octagon of order (2, 4). Math Notes 84, 483–492 (2008). https://doi.org/10.1134/S0001434608090204

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0001434608090204

Key words

Navigation