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

Abstract

Let $\Phi$ 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 $L^{\Phi }.$ We will prove that the latter is cyclic only for trivial extensions of $\mathbf{F}\_q$.