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arXiv · 1903.03923

Cardinality of the Dickson permutation's group of polynomials on $\mathbb{Z}_n$

L. Peña·M. Ortíz
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Abstract

Let $G_n$ be the group of permutations on $\mathbb{Z}_n$ that is induced by a Dickson polynomial, where $n$ is a positive integer. In this work, by solving special types of systems of linear congruences, we obtain $G_n$. In addition, we give an a algorithm that gets $|G_n|$.

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L. Peña, M. Ortíz. 2019-03-10. Cardinality of the Dickson permutation's group of polynomials on $\mathbb{Z}_n$. https://arxiv.org/abs/1903.03923

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