Results 101 to 110 of about 57,503 (225)

Permutation Polynomials modulo m

, 2005
This paper mainly studies problems about so called "permutation polynomials modulo $m$", polynomials with integer coefficients that can induce bijections over Z_m={0,...,m-1}. The necessary and sufficient conditions of permutation polynomials are given, and the number of all permutation polynomials of given degree and the number induced bijections are ...
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A New Criterion for Permutation Polynomials

Finite Fields and Their Applications, 1995
The author presents the relationships among: (1) the number of distinct values \(v\) of a polynomial \(f(x)\) of degree \(n\) over a finite field of \(q\) elements, (2) the degree \(u\) of the first non-vanishing elementary symmetric function of the values of \(f(x)\), and (3) the degree \(w\) of the first non-vanishing power sum of the values of \(f(x)
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Conjugate $p$-elements of full support that generate the wreath product $C_{p}wr C_{p}$ [PDF]

International Journal of Group Theory, 2016
For a symmetric group $G:=Sym(n)$ and a conjugacy class $mathcal{X}$ of involutions in $G$, it is known that if the class of involutions does not have a unique fixed point, then - with a few small exceptions - given two elements $a,x in mathcal{X ...
David Ward
doaj  

The Matrix Ansatz, Orthogonal Polynomials, and Permutations [PDF]

, 2010
Sylvie Corteel, Matthieu Josuat-Vergès, Lauren Williams   +2 more
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A note on permutation polynomials over finite fields [PDF]

, 2017
Jingxue Ma, Gennian Ge
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Higher level completeness for permutation polynomials

Proceedings - Mathematical Sciences
Generalising the concept of a complete permutation polynomial over a finite field, we define completness to level $k$ for $k\ge1$ in fields of odd characteristic. We construct two families of polynomials that satisfy the condition of high level completeness for all finite fields, and two more families complete to the maximum level a possible for large ...
S Rajagopal, P Vanchinathan
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Permutations Which Avoid 1243 and 2143, Continued Fractions, and Chebyshev Polynomials [PDF]

, 2003
Eric S. Egge, Toufik Mansour
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Permutation polynomials and applications

, 2023
El objetivo de este Trabajo Fin de Máster es el estudio de los polinomios permutacionales y localmente permutacionales en varias variables definidos sobre cuerpos finitos. En la primera parte de esta memoria se introduce el concepto de polinomios permutacionales en una variable, así como una serie de resultados básicos.
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The quasi-polynomiality of mod q permutation representation for a linear finite group action on a lattice [PDF]

Ryo Uchiumi, Masahiko Yoshinaga
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ENUMERATING LOCAL PERMUTATION POLYNOMIALS OVER RESIDUE CLASS RINGS [PDF]

, 2009
Jiangmin Pan, Cai Heng Li
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