Reversed Dickson polynomials over finite fields are obtained from Dickson polynomials D n (x, a) over finite fields by reversing the roles of the indeterminate x and the parameter a. We study reversed Dickson polynomials with emphasis on their permutational properties over finite fields. We show that reversed Dickson permutation polynomials (RDPPs) are… (More)
Let Q 2 m be the generalized quaternion group of order 2 m and D N the dihedral group of order 2N. We classify the orbits in Q n 2 m and D n p m (p prime) under the Hurwitz action.