Rédei permutations with cycles of the same length

Juliane Capaverde, Ariane M. Masuda, Virgínia M. Rodrigues

Let ${\mathbb{F}}_q$ be a finite field of odd characteristic. We study Rédei functions that induce permutations over ${\mathbb{P}}^1({\mathbb{F}}_q)$ whose cycle decomposition contains o…