## 51A35 Non-Desarguesian affine and projective planes

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- Differenzmenge (1)
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- Nicht-Desarguessche Ebene (1)
- Planares Polynom (1)
- non-desarguesian plane (1)
- planar polynomial (1)
- quasiregular group (1)
- quasireguläre Gruppe (1)

- Quasiregular Projective Panes of Order 16 -- A Computational Approach (2006)
- This thesis discusses methods for the classification of finite projective planes via exhaustive search. In the main part the author classifies all projective planes of order 16 admitting a large quasiregular group of collineations. This is done by a complete search using the computer algebra system GAP. Computational methods for the construction of relative difference sets are discussed. These methods are implemented in a GAP-package, which is available separately. As another result --found in cooperation with U. Dempwolff-- the projective planes defined by planar monomials are classified. Furthermore the full automorphism group of the non-translation planes defined by planar monomials are classified.