On Ritt's decomposition theorem in the case of finite fields

DOI10.1016/j.ffa.2005.08.004zbMath1111.11056arXiv0803.3976OpenAlexW1969032791MaRDI QIDQ2500605

David Sevilla, Jaime Gutierrez

Publication date: 17 August 2006

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

Full work available at URL: https://arxiv.org/abs/0803.3976

zbMATH Keywords

Galois theorydecomposition of polynomialsRitt's theorem

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over finite fields (11T06)

Related Items (6)

Generalizations of two theorems of Ritt on decompositions of polynomial maps. ⋮ Invariant rational functions, linear fractional transformations and irreducible polynomials over finite fields ⋮ Counting Decomposable Univariate Polynomials ⋮ Common composites of triangular polynomial systems and hash functions ⋮ Building counterexamples to generalizations for rational functions of Ritt's decomposition theorem ⋮ Tame decompositions and collisions

Cites Work

• Unnamed Item
• On multivariate rational function decomposition
• Improperly parametrized rational curves
• Prime and composite polynomials
• On the invariance of chains of fields

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