Matrix generators for the Ree groups ²G 2 (q)

G 2 (q), q = 32m+1. Let T be an F -invariant maximal torus of G, andlet B and B be F -invariant Borel subgroups intersecting in T with unipotent radicals Urespectively U . By N we denote the normalizer NG (T ). Let be the root system of Gwith respect to T and fa; bg its base given by B, where a is a short and b a long root. NowU respectively U is generated by subgroups X r respectively X r , where r 2 +(the setof positive roots). The g