Skip to main content
Log in

Collineations leaving a Desarguesian net invariant

  • Published:
Geometriae Dedicata Aims and scope Submit manuscript

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.

Bibliography

  1. André, J.: ‘Über nicht-Desarguesche Ebenen mit transitiver Translationsgruppe’, Math. Z. 60 (1954), 156–186.

    Google Scholar 

  2. André, J.: ‘Über Perspektivitäten in endlichen projektiven Ebenen’, Arch. Math. 6 (1954), 29–32.

    Google Scholar 

  3. André, J.: ‘Projektive Ebenen über Fastkörpern’, Math. Z. 62 (1955), 137–160.

    Google Scholar 

  4. Burmester, M. V. D. and Hughes, D. R.: ‘On the Solvability of Autotopism Groups’, Arch. Math. 16 (1965), 178–183.

    Google Scholar 

  5. Burnside, W.: Theory of Groups of Finite Order, Reprint, Dover, N.Y., 1955.

  6. Dickson, L. E.: Linear Groups with an Exposition of Galois Field Theory, Reprint, Dover, N.Y., 1958.

  7. Feit, W. and Thompson, J. G.: ‘Solvability of Groups of Odd Order’, Pacific J. Math. 13 (1963), 771–1029.

    Google Scholar 

  8. Foulser, D. A.: ‘A Generalization of André's Systems’, Math. Z. 100 (1967), 380–395.

    Google Scholar 

  9. Gleason, A. M.: ‘Finite Fano Planes’, Am. J. Math. 78 (1956), 797–807.

    Google Scholar 

  10. Hering, C.: ‘On Shears of Translation Planes’, AB. Math. Sem. Hamb. 37 (1972), 258–268.

    Google Scholar 

  11. Ostrom, T. G.: ‘Vector Spaces and Construction of Finite Projective Planes’, Arch. Math. XIX (1968), 1–25.

    Google Scholar 

  12. Ostrom, T. G.: ‘Partially Desarguesian Planes’, Math. Z. 106 (1968), 113–122.

    Google Scholar 

  13. Ostrom, T. G.: ‘Linear Transformations and Collineations of Translation Planes’, J. Alg. 14 (1970), 405–416.

    Google Scholar 

  14. Ostrom, T. G.: ‘Translation Planes Admitting Homologies of Large Order’, Math. Z. 114 (1970), 79–92.

    Google Scholar 

  15. Ostrom, T. G.: Finite Translation Planes, Lecture Notes in Mathematics, No. 158, Springer-Verlag, Berlin and New York, 1970.

    Google Scholar 

  16. Ostrom, T. G.: ‘Elations in Finite Translation Planes of Characteristic 3’, AB. Math. Sem. Hamb. 41 (1974), to appear.

Download references

Author information

Authors and Affiliations

Authors

Additional information

This research was supported in part by NSF Grants No. GP-17461 and GP-27101.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ostrom, T.G. Collineations leaving a Desarguesian net invariant. Geom Dedicata 6, 109–120 (1977). https://doi.org/10.1007/BF00181586

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00181586

Navigation