Cardinality of the Dickson permutation's group of polynomials on $\mathbb{Z}_n$
Number Theory
2019-03-12 v1
Abstract
Let be the group of permutations on that is induced by a Dickson polynomial, where is a positive integer. In this work, by solving special types of systems of linear congruences, we obtain . In addition, we give an a algorithm that gets .
Cite
@article{arxiv.1903.03923,
title = {Cardinality of the Dickson permutation's group of polynomials on $\mathbb{Z}_n$},
author = {L. Peña and M. Ortíz},
journal= {arXiv preprint arXiv:1903.03923},
year = {2019}
}