On the nonexistence of certain Hughes generalized quadrangles
In this paper, we prove that the Hermitian quadrangle H( 4, q(2)) is the unique generalized quadrangle Gamma of order (q(2), q(3)) containing some subquadrangle of order (q(2), q) isomorphic to H( 3, q2) such that every central elation of the subquadrangle is induced by a collineation of Gamma.
hermitian quadrangle moufang quadrangle central collineations hughes planes