Cyclotomic Swan subgroups and primitive roots

Timothy Kohl, Daniel Replogle

Let $K_m=\mathbb{Q}({\zeta }_m)$ where ${\zeta }_m$ is a primitive $m$th root of unity. Let $p>2$ be prime and let $C_p$ denote the group of order $p.$ The ring of algebraic integers of $K_…