Reduction for primitive flag-transitive (v, k, 4)-symmetric designs | Designs, Codes and Cryptography Skip to main content
Log in

Reduction for primitive flag-transitive (v, k, 4)-symmetric designs

  • Published:
Designs, Codes and Cryptography Aims and scope Submit manuscript

Abstract

It has been shown that if a (v, k, λ)-symmetric design with λ ≤ 3 admits a flag-transitive automorphism group G which acts primitively on points, then G must be of affine or almost simple type. Here we extend the result to λ = 4.

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

Access this article

Subscribe and save

Springer+ Basic
¥17,985 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Japan)

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Buekenhout F., Delandtsheer A., Doyen J. (1988) Finite linear spaces with flag-transitive automorphism groups. J. Combin. Theory A 49: 269–293

    Article  MathSciNet  Google Scholar 

  2. O’Reilly Regueiro E. (2005) On primitivity and reduction for flag-transitive symmetric designs. J. Combin. Theory A 109: 135–148

    Article  MATH  MathSciNet  Google Scholar 

  3. Liebeck M.W., Praeger C.E., Saxl J. (1988) On the O’Nan-Scott Theorem for finite primitive permutation groups. J. Austral. Math. Soc. A 44: 389–396

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Eugenia O’Reilly-Regueiro.

Additional information

Communicated by C. E. Praeger.

Rights and permissions

Reprints and permissions

About this article

Cite this article

O’Reilly-Regueiro, E. Reduction for primitive flag-transitive (v, k, 4)-symmetric designs. Des. Codes Cryptogr. 56, 61–63 (2010). https://doi.org/10.1007/s10623-009-9341-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10623-009-9341-8

Keywords

Mathematics Subject Classification (2000)

Navigation