Daniel R. Replogle

collaborators

Showing math.NTShow all

3 papers · 1 filter

math.NT2002

Cyclotomic Swan subgroups and primitive roots

Timothy Kohl, Daniel Replogle

Let $K_{m} = Q (ζ_{m})$ where $ζ_{m}$ 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_…

math.NT2002

Kernel Groups and nontrivial Galois module structure of imaginary quadratic fields

Daniel R. Replogle

Let $K$ be an algebraic number field with ring of integers $\Cal{O}_{K}$, $p > 2$ be a rational prime and $G$ be the cyclic group of order $p$ . Let $Λ$ denote the order $\Cal{O}_{K}…

math.NT2002

Nontrivial Galois module structure of cyclotomic fields

Marc Conrad, Daniel R. Replogle

We say a tame Galois field extension $L / K$ with Galois group $G$ has trivial Galois module structure if the rings of integers have the property that $\Cal{O}_{L}$ is a free $\Cal{O…