Journal of Geometry

November 1993, Volume 48, Issue 1–2, pp 86–108 | Cite as

Characterizations of regulus nets

• Authors
• Authors and affiliations

• Yutaka Hiramine
• Norman L. Johnson

Article

Received: 22 May 1991

Revised: 01 October 1991

• 20 Downloads
• 1 Citations

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

Preview

Unable to display preview. Download preview PDF.

References

1. [1]
   COFMAN, J.: Baer subplanes and Baer collineations of derivable projective planes. Abh. Math. Sem. Hamburg44 (1975), 187–192Google Scholar
2. [2]
   COOPERSTEIN, B.N.: Minimal degree for a permutation representation of a classical group. Israel J.30 (1978), 215–235Google Scholar
3. [3]
   DEBROEY, I.: Semi-partial geometries satisfying the diagonal axiom. J. Geom. Vol.13/2 (1979), 172–190Google Scholar
4. [4]
   De CLERCK, F. and JOHNSON, N.L.: Subplane covered nets and partial geometries (preprint)Google Scholar
5. [5]
   DE CLERCK, F. and THAS, J.A.: Partial geometries satisfying the axion of Pasch. Simon Stevin51 (1977), 123–137Google Scholar
6. [6]
   HACHENBERGER, D.: On the existence of translation nets. J. Alg. (to appear)Google Scholar
7. [7]
   HACHENBERGER, D. and JUNGNICKEL, D.: Brack nets with a transitive direction. Geom. Ded.36 (1990), 287–313Google Scholar
8. [8]
   GORENSTEIN, D.: Finite Groups. Harper and Row, New York, Evanston, London, 1968Google Scholar
9. [9]
   JOHNSON, N.L.: A group theoretic characterization of derivable nets. J. Geom.40 (1991), 95–104Google Scholar
10. [10]
    JOHNSON, N.L.: Translation planes of orderq ² that admitq+1 elations. Geom. Ded.15 (1984), 329–337Google Scholar
11. [11]
    JOHNSON, N.L.: Derivable nets and 3-dimensional projective spaces. Abh. d. Math. Sem. Hamburg58 (1989), 245–253Google Scholar
12. [12]
    JOHNSON, N.L.: Derivable nets and 3-dimensional projective spaces. II. The structure. Archiv d. Math.55 (1990), 84–104Google Scholar
13. [13]
    LENZ, H.: Zur Begründung der analytischen Geometrie. Sitz. -Ber. Bayer, Akad. Wiss. (1954), 17–72Google Scholar
14. [14]
    OSTROM, T.G. Linear transformations and collineations of translation planes. Journal of Alg.14/3 (1970), 405–416Google Scholar
15. [15]
    WALKER, M.: Spreads covered by derivable partial spreads. J. Comb. Th. Ser. A38 (1985), 113–130Google Scholar
16. [16]
    ZSIGMONDY, K.: Aur Theorie der Potenzreste. Monatshefte Math. Phys.3 (1936), 265–284Google Scholar

Copyright information

© Birkhäuser Verlag 1993

Authors and Affiliations

• Yutaka Hiramine
  • 1
• Norman L. Johnson
  • 2

1. 1.Dept. of Mathematics College of General EducationOsaka UniversityOsakaJapan
2. 2.Mathematics Dept.University of IowaIowa CityUSA