Skip to main content
Log in

A common characterization of the projective spaces PG(4, n) and PG(5, n)

  • Published:
Journal of Geometry Aims and scope Submit manuscript

Abstract

A common characterization of the projective spaces PG(4, n) and PG(5, n) in terms of finite irreducible planar spaces is given.

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. Beutelspacher A., Rosenbaum U.: Projective geometry. From the foundations to the applications. Cambridge University Press, Cambridge (1998)

    MATH  Google Scholar 

  2. Durante N., Lo Re P.M., Olanda D.: On regular planar spaces of type (k, n). Discrete Math. 301(1), 66–73 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  3. Hanani H.: On the number of lines and planes determined by d points. Technion. Israel Inst. Tech. Sci. Publ. 6, 58–63 (1954/5)

    MathSciNet  Google Scholar 

  4. Veblen O., Young J.W.: Projective geometry, vol. I. Ginn and Company, New York (1910)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Domenico Olanda.

Additional information

This research was supported by G.N.S.A.G.A. of INdAM.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Napolitano, V., Olanda, D. A common characterization of the projective spaces PG(4, n) and PG(5, n). J. Geom. 104, 563–569 (2013). https://doi.org/10.1007/s00022-013-0182-2

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00022-013-0182-2

Mathematics Subject Classification (2000)

Keywords

Navigation