The Polynomial Automorphisms of the Unitriangular Matrices
The nilpotent groups is an important research object in the group theory,in which the upper unitriangular matrix group holds a more important position in the nilpotent groups due to its class is n-1.The polynomial automorphisms of the given groups have been widely concerned because of its properties.This paper proves that every the polynomial automorphisms of the unitriangular matri-ces of order 3 over a finite field is necessarily inner automorphisms.