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A characterization of the desarguesian planes of order q 2 by SL ( 2 , q )

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  • D. A. Foulser
  • N. L. Johnson
  • T. G. Ostrom

Abstract

The main result is that if the translation complement of a translation plane of order q 2 contains a group isomorphic to SL ( 2 , q ) and if the subgroups of order q are elations (shears), then the plane is Desarguesian. This generalizes earlier work of Walker, who assumed that the kernel of the plane contained G F ( q ) .

Suggested Citation

  • D. A. Foulser & N. L. Johnson & T. G. Ostrom, 1983. "A characterization of the desarguesian planes of order q 2 by SL ( 2 , q )," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 6, pages 1-4, January.
    • Handle: RePEc:hin:jijmms:786813
    DOI: 10.1155/S0161171283000551
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