Class Group Relations in a Function Field Analogue of $\mathbb{Q}({\zeta }_p,\sqrt[p]{n})$

Steven Reich

For an odd prime $p$ and polynomial $P(T)$, we consider the extension $F$ of $k={\mathbb{F}}_p(T)$ defined by adjoining a root of $x^p+Tx-P(T)$. Such a field is a function field ana…