Small systems of generators of isotropic unitary groups over finite fields of characteristic not two
Let K be a finite field of characteristic not two and V a finite- dimensional vector space over K endowed with a sesquilinear form f. Assume the Witt index of f is at least 1. The author shows that the unitary group U(V) and the orthogonal group O(V) are generated by three elements, the symplectic group Sp(V) is generated by two elements.
scientific article; zbMATH DE number 3955227