Elation Laguerre planes of order 16 are ovoidal (2006)
We conduct a computer search for elation Laguerre planes of order 16 and show that each such plane is ovoidal. The search results also confirm the numbers of hyperovals through certain points in the dual translation planes of order 16 given in J. Combin. Des. 4 (1996), 59--65.
CitationSteinke, G.F. (2006) Elation Laguerre planes of order 16 are ovoidal. Journal of Combinatorial Designs, 14(4), pp. 313-323.
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KeywordsFinite geometry; Laguerre plane; Ovoidal Laguerre plane; Elation Laguerre plane; Elation group; Dual translation plane; Hyperoval
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Elation Laguerre planes of order p2 that admit an automorphism group of order p2 in the elation complement Steinke, Günter F. (University of Canterbury. Dept. of Mathematics, 1993)Following the program for finite translation planes to construct such planes from collineation groups in the translation complement a search for non-Miquelian Laguerre planes of odd order is initiated. In this note finite ...
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