Skip to main content
Log in

PSL (3, q) on projective planes of order q 3

  • Published:
Geometriae Dedicata Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

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.

References

  1. Dembowski, P., ‘Gruppenerhaltende quadratische Erweiterungen endlicher desarguescher projektiver Ebenen’, Arch. Math. 22 (1971), 214–220.

    Google Scholar 

  2. Dembowski, P., ‘Zur Geometrie der Gruppen PSL(3, q)’, Math. Z. 117 (1970), 125–134.

    Google Scholar 

  3. Figueroa, R., ‘A Family of not (V, l)-Transitive Projective Planes of Order q 3, q ≇ 1 (mod 3) and q > 2’, Math. Z. 181 (1982), 471–479.

    Google Scholar 

  4. Gorenstein, D., Finite Groups, Harper & Row, New York, 1968.

    Google Scholar 

  5. Hering, C., ‘On the Structure of Finite Collineation Groups of Projective Planes’, Abh. Math. Sem. Hamb. 49 (1979), 155–182.

    Google Scholar 

  6. Huppert, B., ‘Singer-Zyklen in klassischen Gruppen’, Math. Z. 117 (1970), 141–150.

    Google Scholar 

  7. Lüneburg, H., Translation Planes, Springer, New York, 1980.

    Google Scholar 

  8. Lüneburg, H., ‘Characterization of the Generalized Hughes Planes’, Can. J. Math. 28 (1976), 376–402.

    Google Scholar 

  9. Piper, F. C., ‘Collineation Groups Containing Elations, I’, Math. Z. 89 (1965), 181–191.

    Google Scholar 

  10. Piper, F. C., ‘Collineation Groups Containing Homologies’, J. Algebra 6 (1967), 256–269.

    Google Scholar 

  11. Unkelbach, H., ‘Eine Characterisierung der endlichen Hughes-Ebenen’, Geom. Dedicata 1 (1973), 148–159.

    Google Scholar 

  12. Wagner, A., ‘On Involutions of Projective Planes’, Arch. Math. 13 (1962), 527–534.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dempwolff, U. PSL (3, q) on projective planes of order q 3 . Geom Dedicata 18, 101–112 (1985). https://doi.org/10.1007/BF00221208

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00221208

Keywords

Navigation