Journal of Geometry

, Volume 21, Issue 1, pp 184–200 | Cite as

Representations of SL(2,4) on translation planes of even order

  • Norman L. Johnson


A representation for SL(2,4) In characteristic 2 is given which leads to a group theoretic construction of the Dempwolff plane of order 16. Using this construction,it is further shown that the Dempwolff plane may be obtained by the derivation of the semifield plane of order 16 and kern GF(2).


Translation Plane Theoretic Construction Semifield Plane Group Theoretic Construction 
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Copyright information

© Birkhäuser Verlag 1983

Authors and Affiliations

  • Norman L. Johnson
    • 1
  1. 1.Department of MathematicsThe University of IowaIowa City

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