Let $L/K$ be a finite extension of congruence function fields. We say that $L/K$ is a { \it radical extension} if $L$ is generated by roots of polynomials $u^{ M}-\alpha \in K[u]$, where $u^{ M}$ is the action of Carlitz-Hayes. We study a special class of these extensions, the { \it radical cyclotomic} extensions. We prove that any radical cyclotomic extension has order a power of the characteristic of $K$. We also give bounds for the Carlitz-Hayes torsion of these extensions.
Categories: math.NT