Permutation polynomials on Fq induced from Rédei function bijections on subgroups of Fq*</a>,

Michael E. Zieve:
Permutation polynomials on F_q induced from Rédei function bijections on subgroups of F_q^*,
Monatshefte für Mathematik, to appear.

(Prior to publication, this paper should be cited as arXiv:1310.0776.)

We construct classes of permutation polynomials over F_q by exhibiting classes of low-degree rational functions over F_q which induce bijections on the set of (√ q+1)-th roots of unity in F_q. As a consequence, we prove two conjectures about permutation trinomials from a recent paper by Tu, Zeng, Hu and Li, and give a substantial generalization of the main result of that paper.

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