Geometry and dynamics of Galois fields
Vladimir I. Arnold · Russian Mathematical Surveys · 2004
The tables defining operations in finite fields possess many properties of tables of random numbers. A distinctive variant is discussed of automorphisms of tori in the theory of dynamical systems for which a torus has finitely many points. Also established are the actions of Frobenius transformations of finite fields onto projective structures of finite projective spaces describing the geometry of the field.