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In this paper we study the (2,k)-generation of the finite classical groupsSL(4,q), Sp(4,q), SU(4,q^2) and their projective images. Here k is the order ofan arbitrary element of SL(2,q), subject to the necessary condition k>= 3. Whenq is even we allow also k=4.

Uniform (2,k)-generation of the 4-dimensional classical groups