Skip to main content
Log in

Varietes lineaires et Automorphismes des Espaces affins sur un presque-corps non planaire

  • Published:
Journal of Geometry Aims and scope Submit manuscript

Abstract

Two proceeding papers were devoted to the description of all linear subspaces and of the automorphism group of the “affine” n-space over a planar nearfield.

We show here that the same description is valid in the case of a nearfield which is not planar.

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

Bibliographie

  1. Dembowski,P.: Finite Geometries.Ergebenisse der Mathematik und ihrer Grenzgebiete Bd.44. Berlin, Springer Verlag.1968.

    Google Scholar 

  2. Nizette,N.: Les variétés linéaires des espaces affins sur un presque-corps.Bull.Soc.Math.Belg.XXII,3 (1970) 268–295.

    Google Scholar 

  3. Nizette,N.: Le groupe des automorphismes des espaces affins à plus de deux dimensions sur un presque-corps proprement dit. Acad. Roy. Belg., Bull. Cl. Sci.LVI-4 (1970) 339–345.

    Google Scholar 

  4. Zemmer,J.L.: Nearfields, planar and non planar.Math. Student. 32 (1964) 145–150.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nizette, N. Varietes lineaires et Automorphismes des Espaces affins sur un presque-corps non planaire. J Geom 2, 175–183 (1972). https://doi.org/10.1007/BF01918422

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01918422

Navigation