6533b828fe1ef96bd12878d2
RESEARCH PRODUCT
A class of unitals of order q which can be embedded in two different planes of order q2
Klaus Grüningsubject
AlgebraPure mathematicsCollineationReal projective planeDuality (projective geometry)Translation planeFinite geometryGeometry and TopologyProjective planeFano planeNon-Desarguesian planeMathematicsdescription
By deriving the desarguesian plane of order q2 for every prime power q a unital of order q is constructed which can be embedded in both the Hall plane and the dual of the Hall plane of order q2 which are non-isomorphic projective planes. The representation of translation planes in the fourdimensional projective space of J. Andre and F. Buekenhouts construction of unitals in these planes are used. It is shown that the full automorphism groups of these unitals are just the collineation groups inherited from the classical unitals.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1987-06-01 | Journal of Geometry |