Elation Laguerre planes of order p2 that admit an automorphism group of order p2 in the elation complement (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 Laguerre planes of order p2, p a prime, are investigated. If such a Laguerre plane L, admits a circle-transitive elation group and an automorphism group of order p2 in the elation complement, then it is proved that L, is Miquelian.
ANZSRC Fields of Research01 - Mathematical Sciences
RightsCopyright Günter F. Steinke
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Steinke, Günter F. (University of Canterbury. Dept. of Mathematics, 1997)This paper concerns 4-dimensional ( topological locally compact connected) elation Laguerre planes that admit large automorphism groups. In particular, it is shown that such a plane is classical if its automorphism group ...
G.F. Steinke (University of Canterbury. Mathematics and Statistics, 2016)