Galois module structure of the units modulo of cyclic extensions of degree

J Mináč, A Schultz, J Swallow - manuscripta mathematica, 2023 - Springer
Let p be prime, and n, m∈ N. When K/F is a cyclic extension of degree pn, we determine the
Z/pm Z [Gal (K/F)]-module structure of K×/K× pm. With at most one exception, each …