Periods of maps on irreducible polynomials over finite fields

DOI10.1006/ffta.1996.0168zbMath0912.11051OpenAlexW2052824821MaRDI QIDQ1266430

Patrick Morton

Publication date: 29 March 1999

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/ffta.1996.0168

zbMATH Keywords

Carlitz modulealgebraic dynamicsperiodic polynomials

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Finite fields (field-theoretic aspects) (12E20) Low-dimensional dynamical systems (37E99)

Related Items

The dynamics of permutations on irreducible polynomials, Arithmetical Method to Detect Integrability in Maps, The dynamics of linearized polynomials, Noncommutative algebraic dynamics: ergodic theory for profinite groups

Cites Work

• Unnamed Item
• Algebraic function fields and codes
• On Artin's conjecture and Euclid's algorithm in global fields
• Algebraic dynamics of polynomial maps on the algebraic closure of a finite field. I
• Algebraic dynamics of polynomial maps on the algebraic closure of a finite field. II
• Dynamics over irreducible polynomials
• Explicit Class Field Theory for Rational Function Fields
• The Galois Theory of Periodic Points of Polynomial Maps
• Periodic points, multiplicities, and dynamical units.