Galois module structure of cyclic extensions of local Fields of characteristic zero

Sébastien Bosca

Published 2023-04-05Version 1

We describe the exact G-module F* for any cyclic extension F/K of locals fields of characteristic zero, where G is the Galois group of F/K. We also describe a parametrized space Wa,b,m,n which is most often a direct factor in F*.