Some classes of linearizable polynomial maps Original Research Article

It is known that for a polynomial automorphism F with strongly nilpotent Jacobian matrix the automorphism sF is linearizable for some scalar s. This paper gives a slight generalization of this property and describes a class of linearizable polynomial maps of finite order which includes triangular automorphisms. Some conditions of proven theorems enable us to give a counterexample to the Linearization problem and the Fixed point problem in finite characteristics.