Galois Relations for Cyclotomic Numbers and p-Units Original Research Article

We study Galois relations between certain sets of cyclotomic numbers in real abelian fields. In one class of cases, a complete set of Galois generators for these relations is determined. These results are used to study the group of cyclotomic p-units introduced in [So]. In particular, the latter is shown to be Galois isomorphic to the group of cyclotomic numbers.