Statistique sur la cyclicité de A-module de Drinfeld de rang 2

Abstract

Let $Φ$ be a Drinfeld $\mathbf{F}\_{q}[T]$-module of rank 2, over a finite field $L=\mathbf{F}\_{q^{n}}$. We will study the cyclic property of the structure $L^Φ.$ We will prove that the latter is cyclic only for trivial extensions of $\mathbf{F}\_{q}$.