REFERENCES

Abstract. Consider the functional equation f, g, h, k: G → K, f(xy) + g(xy−1) = h(x)k(y) (∗) where G is a group and K a field with charK 6 = 2. Wilson [13] and Aczél [1] have solved the equation (∗) where G is the additive group of real numbers R and K = R. In the present paper we obtain the general solution of the equation (∗) when G belongs to a special class of nilpotent or generalized nilpotent groups