Geodesic
Geometry and dynamics of Galois fields
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 59 (2004) no. 6, pp. 1029-1046

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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. 
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     author = {V. I. Arnol'd},
     title = {Geometry and dynamics of {Galois} fields},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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     url = {http://geodesic.mathdoc.fr/item/RM_2004_59_6_a1/}
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V. I. Arnol'd. Geometry and dynamics of Galois fields. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 59 (2004) no. 6, pp. 1029-1046. http://geodesic.mathdoc.fr/item/RM_2004_59_6_a1/