Geometriae Dedicata

, Volume 41, Issue 2, pp 191–200 | Cite as

Two families of flag-transitive affine planes

  • William M. Kantor
Article
Received:

Abstract

Two families of flag-transitive nondesarguesian affine planes of odd order are defined, and isomorphisms among the various planes are studied.

Keywords

Affine Plane 
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.
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References

  1. 1.
    Baker, R. D. and Ebert, G. L., ‘Enumeration of two-dimensional flag-transitive planes’, Algebras, Groups Geom. 3 (1985), 248–257.Google Scholar
  2. 2.
    Baker, R. D. and Ebert, G. L., ‘Construction of two-dimensional flag-transitive planes’, Geom. Dedicata 27 (1988), 9–14.Google Scholar
  3. 3.
    Kantor, W. M., ‘Spreads, translation planes and Kerdock sets. II’, SIAM J. Algebraic Discrete Methods 3 (1982), 308–318.Google Scholar
  4. 4.
    Suetake, C., ‘Flag transitive planes of order q nwith a long cycle on l ∞ as a collineation’ (to appear).Google Scholar
  5. 5.
    Wagner, A., ‘On finite affine line transitive planes’, Math. Z. 87 (1965), 1–11.Google Scholar
  6. 6.
    Zsigmondy, K., ‘Zur Theorie der Potenzreste’, Monatsh. Math. Phys. 3 (1892), 265–284.Google Scholar

Copyright information

© Kluwer Academic Publishers 1992

Authors and Affiliations

  • William M. Kantor
    • 1
  1. 1.Dept. of MathematicsUniversity of OregonEugeneU.S.A.

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