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On Conics that are Ovals in a Hall Plane

✍ Scribed by D.G. Glynn; G.F. Steinke

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
230 KB
Volume
14
Category
Article
ISSN
0195-6698

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✦ Synopsis

The conics of a finite Desarguesian plane of square even order satisfying the following properties are classified. (1) Their two infinite points (one being the nucleus) do not intersect a certain derivation set. (2) They are also ovals in the Hall plane constructed from the derivation set. This leads to a construction of ovals from conics in certain subregular planes of even order (which are translation planes of dimension 2 over their kernel).

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