Cycles of linear permutations over a finite field

DOI10.1016/0024-3795(88)90179-6zbMath0699.12030OpenAlexW2094792643WikidataQ127172113 ScholiaQ127172113MaRDI QIDQ912920

Theresa P. Vaughan, Gary L. Mullen

Publication date: 1988

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(88)90179-6

zbMATH Keywords

equivalencecycle structureFrobenius automorphismnonsingular linear transformationsq-polynomialsstrong equivalence

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

Related Items (11)

Rédei permutations with the same cycle structure ⋮ Permutations from an arithmetic setting ⋮ On the functional graph of the power map over finite groups ⋮ Nilpotent linearized polynomials over finite fields and applications ⋮ Permutations on finite fields with invariant cycle structure on lines ⋮ The cycle structure of a class of permutation polynomials ⋮ The functional graph of linear maps over finite fields and applications ⋮ The dynamics of permutations on irreducible polynomials ⋮ Scalar polynomial functions on the nonsingular matrices over a finite field ⋮ Composed products and module polynomials over finite fields ⋮ Dynamics of the \(a\)-map over residually finite Dedekind domains and applications

Cites Work

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• Linear transformations of a finite field
• Polynomials Over Finite Fields which Commute with Linear Permutations
• Polynomials and linear transformations over finite fields.
• Linear permutation polynomials with coefficients in a subfield

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