A class of triangular derivations having a slice Original Research Article

Consider a Ga-action on imagen(n ≥ 3) given by the derivation D = p(X2,…, Xn)∂1 + q(X3,h., Xn) δ2. It is shown that (imagen)Ga not, vert, similar- imagen− if gcd(p,q) = 1 and that imagen is equivariantly isomorphic to Ga × imagen−1 if the Ga-action is fixed point free.