The main result: Let q be a power of a prime, and if G is a collineation group of a projective plane and G acts transitively on the points, then G is not isomorphic to PSU(3,q~2).

• 得到主要结果:令q是素数方幂；若G是一个射影平面的共线变换群并且传递地作用在点集合上；则G不能与PSU(3；q2)同构.