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Unitals in $PG(2,q^2)$ with a large 2-point stabiliser (1009.6109v3)

Published 30 Sep 2010 in math.CO, math.AG, and math.GR

Abstract: Let $\cU$ be a unital embedded in the Desarguesian projective plane $\PG(2,q2)$. Write $M$ for the subgroup of $\PGL(3,q2)$ which preserves $\cU$. We show that $\cU$ is classical if and only if $\cU$ has two distinct points $P,Q$ for which the stabiliser $G=M_{P,Q}$ has order $q2-1$.

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