Gauss sums, Jacobi sums and cyclotomic units related to torsion Galois modules

Luca Caputo, Stéphane Vinatier

Let $G$ be a finite group and let $N/E$ be a tamely ramified $G$-Galois extension of number fields. We show how Stickelberger's factorization of Gauss sums can be used to determine…