Let G be a quasi-simple
algebraic group defined and split over the field k. Let V be a maximal k-split
unipotent subgroup of G and Aut(V ) the group of k-automorphism of V . The
structure of Aut(V ) is determined and the obstructions to making Aut(V ) algebraic
when chark > 3 are made explicit. If G is not of type A2, then Aut(V ) is
solvable.