Determination of Conductors from Galois Module Structure, by Romyar T. Sharifi

Let F be the cyclotomic extension of Q_p by the (p^n)th roots of unity for an odd prime p. We determine the conductors of the degree p^n Kummer extensions of F by those elements such that the resulting field is Galois over Q_p. This follows from a comparison of the Galois module structure of the multiplicative group of F with the unit filtration of F.

Romyar T. Sharifi <>