Nonexistence of generalized quadrangles admitting a point-primitive and line-primitive automorphism group with socle PSU(3,q), q≥3

A central problem in the study of generalized quadrangles is to classify finite generalized quadrangles satisfying certain symmetry conditions. It is known that an automorphism group of a finite thick generalized quadrangle S acting primitively on both the points and lines of S must be almost simple...

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