It is shown that the only semifield flocks of the quadratic cone of $PG(3,q^n)$ with $q \geq 4n^2-8n+2$ are the linear flocks and the Kantor-Knuth semifield flocks. This follows from the main theorem which states that there are no subplanes of order $q$ contained in the set of internal points of a conic in $PG(2,q^n)$ for those $q$ exceeding the bound.
On the classification of semifield flocks
LAVRAUW, MICHEL;
2003
Abstract
It is shown that the only semifield flocks of the quadratic cone of $PG(3,q^n)$ with $q \geq 4n^2-8n+2$ are the linear flocks and the Kantor-Knuth semifield flocks. This follows from the main theorem which states that there are no subplanes of order $q$ contained in the set of internal points of a conic in $PG(2,q^n)$ for those $q$ exceeding the bound.File in questo prodotto:
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