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Russian Mathematical Surveys, 2004, Volume 59, Issue 6, Pages 1029–1046
DOI: https://doi.org/10.1070/RM2004v059n06ABEH000793 (Mi rm793) 		 
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
English version PDF (214 kB) Citations (7)
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DOI: https://doi.org/10.1070/RM2004v059n06ABEH000793
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
Russian version:
Uspekhi Matematicheskikh Nauk, 2004, Volume 59, Issue 6(360), Pages 23–40
DOI: https://doi.org/10.4213/rm793
Bibliographic databases:
Document Type: Article
UDC: 51+519.22+512+511+514.144+517.987.5
MSC: Primary 12E10; Secondary 37A45, 65P20
Language: English
Original paper language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:1339
    Russian version PDF:759
    English version PDF:26
    References:97
    First page:6
     
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