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On point-transitive affine planes

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Abstract

Finite affine planes are constructed admitting nonabelian sharply point-transitive collineation groups. These planes are of two sorts: dual translation planes, and planes of type II.1 derived from them.

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References

  1. P. Dembowski,Finite Geometries, Springer, Berlin-Heidelberg-New York, 1968.

    MATH  Google Scholar 

  2. N. L. Johnson and F. C. Piper,On planes of Lenz-Barlotti class II-1, Bull. Lond. Math. Soc.6 (1974), 152–154.

    Article  MATH  MathSciNet  Google Scholar 

  3. W. M. Kantor,Ovoids and translation planes, Canad. J. Math., to appear.

  4. T. G. Ostrom,Semi-translation planes, Trans. Am. Math. Soc.111 (1964), 1–18.

    Article  MATH  MathSciNet  Google Scholar 

  5. T. G. Ostrom,The dual Lüneburg planes, Math. Z.92 (1966), 201–209.

    Article  MATH  MathSciNet  Google Scholar 

  6. M. Walker,A class of translation planes, Geom. Dedic.5 (1976), 135–146.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Oregon, 97403, Eugene, OR, USA

    William M. Kantor

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  1. William M. Kantor
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Additional information

This research was supported in part by National Science Foundation Grant MCS-7903130.

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Kantor, W.M. On point-transitive affine planes. Israel J. Math. 42, 227–234 (1982). https://doi.org/10.1007/BF02802724

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  • DOI: https://doi.org/10.1007/BF02802724

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