Elation Laguerre planes of order p2 that admit an automorphism group of order p2 in the elation complement
Degree GrantorUniversity of Canterbury
Degree NameResearch report
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.
SubjectsField of Research::01 - Mathematical Sciences
- Engineering: Reports