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This article is cited in 6 scientific papers (total in 7 papers)
Geometry and dynamics of Galois fields
V. I. Arnol'd Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
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.
Received: 18.08.2004
Citation:
V. I. Arnol'd, “Geometry and dynamics of Galois fields”, Uspekhi Mat. Nauk, 59:6(360) (2004), 23–40; Russian Math. Surveys, 59:6 (2004), 1029–1046
Linking options:
https://www.mathnet.ru/eng/rm793https://doi.org/10.1070/RM2004v059n06ABEH000793 https://www.mathnet.ru/eng/rm/v59/i6/p23
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Abstract page: | 1339 | Russian version PDF: | 759 | English version PDF: | 26 | References: | 97 | First page: | 6 |
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