Journal of Geometry

, Volume 59, Issue 1–2, pp 34–45 | Cite as

Bundles of conics derived from planar projective incidence groups

  • J. Chris Fisher
  • Helmut Karzel
  • Hubert Kiechle
Article
  • 36 Downloads

Keywords

Incidence Group Projective Incidence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Baker, R.D., Brown, J.M.N., Ebert, G.L., andFisher, J. C.: Projective Bundles. Bull. Belgian Math. Soc. Simon Stevin1 (1994), 329–336.Google Scholar
  2. [2]
    Benz, W.: Real Geometries, Bibliographisches Institut, Mannheim (1994).Google Scholar
  3. [3]
    Bruck, R.H.: Circle geometry in higher dimensions II. Geom. Dedicata2 (1973), 133–188.Google Scholar
  4. [4]
    Fröhlich, A. andTaylor, M.J.: Algebraic Number Theory, Cambridge Univ. Press (1991).Google Scholar
  5. [5]
    Gröbner, W.: Algebraische Geometrie II. BI-Wissenschafts-Verlag, Mannheim-Wien- Zürich 1970.Google Scholar
  6. [6]
    Hall, M., Jr.: Cyclic projective planes. Duke Math. J.47 (1947), 1079–1090.Google Scholar
  7. [7]
    Karzel, H.: Bericht über projektive Inzidenzgruppen. Jahresber. Deutsch. Math. Verein.67 (1964), 58–92.Google Scholar
  8. [8]
    Karzel, H. andPieper, I.: Bericht über geschlitzte Inzidenzgruppen. Jahresber. Deutsch. Math. Verein.72 (1970), 70–114.Google Scholar
  9. [9]
    Kirkman, T.: On the perfect r-partitions of r2−r+1. Trans. Hist. Soc. of Lancashire and Cheshire9 (1856-1857), 127–142.Google Scholar
  10. [10]
    Quigley, F.: Maximal subfields of an algebraically closed field not containing a given element. Proc. Amer. Math. Soc.13 (1962), 562–566.Google Scholar
  11. [11]
    Singer, J.: A theorem in finite projective geometry and some applications to number theory. Trans. Amer. Math. Soc.43 (1938), 377–385.Google Scholar
  12. [12]
    Veblen, O. andYoung, J.W.: Projective Geometry, Vol. I, Ginn & Co. Bosten (1910).Google Scholar
  13. [13]
    Wähling, H.: Darstellung zweiseitiger Inzidenzgruppen durch Divisionsalgebren. Abh. Math. Sem. Univ. Hamburg33 (1969), 197–202.Google Scholar

Copyright information

© Birkhäuser Verlag 1997

Authors and Affiliations

  • J. Chris Fisher
    • 1
  • Helmut Karzel
    • 2
  • Hubert Kiechle
    • 2
  1. 1.Department of MathematicsUniversity of ReginaReginaCanada
  2. 2.Mathematisches InstitutTechnische Universität MünchenMünchenGermany

Personalised recommendations