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It is well-known that there is an isomorphism between $PSp(4,3)$ (the symplectic group of dimension $4$ over $\mathbb F_3$) and $PSU(4,2^2)$ (the unitary group defined by $4\times4$ unitary matrices ...

An order-$m$ subplane of a finite projective plane of order $n$ is called a Baer subplane if $n=m^2$. It is known that the projective plane $PG(2,q)$ is a Baer subplane of the Desarguesian ...