Elation Laguerre planes of order p2 that admit an automorphism group of order p2 in the elation complement

نویسنده

  • Günter F. Steinke
چکیده

Following the program for finite translation planes to construct such planes from collineation groups in the translation complement a search for nonMiquelian Laguerre planes of odd order is initiated. In this note finite Laguerre planes of order p2 , P a prime, are investigated. If such a Laguerre plane .c admits a circle-transitive elation group and an automorphism group of order p2 in the elation complement, then it is proved that .c is Miquelian.

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عنوان ژورنال:
  • Australasian J. Combinatorics

دوره 8  شماره 

صفحات  -

تاریخ انتشار 1993