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

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

2006-06-17

arxiv.org/abs/math/0606418v2

Mathematics

Algebraic Geometry

Scientific paper

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 $\mathbf{F}\_{q}$.

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