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Small sets of even type in finite projective planes of even order

✍ Scribed by Jirapha Limbupasiriporn


Publisher
Springer
Year
2010
Tongue
English
Weight
203 KB
Volume
98
Category
Article
ISSN
0047-2468

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We show how to lift the even intersection equivalence relation from the hyperovals of PG(2, 4) to an equivalence relation amongst sets of hyperconics in "PG(2, F ). Here, F is any "nite or in"nite "eld of characteristic two that contains a sub"eld of order 4, but does not contain a sub"eld of order

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We investigate the structure of a collineation group G leaving invafiant a unital q/in a finite projective plane II of even order n = m 2. When G is transitive onthe points of ~//and the socle of G has even order, then II must be a Desarguesian plane, ~ a classical unital and PSU(3,m 2) ~< G ~< PFU(