Galois Module Structure of $p$th-Power Classes of Extensions of Degree p

Abstract

For fields F of characteristic not p containing a primitive $p$th root of unity, we determine the Galois module structure of the group of $p$th-power classes of K for all cyclic extensions K/F of degree p.

Cited by in corpus (2)

• Galois module structure of square power classes for biquadratic extensions
• On the indecomposability of a remarkable new family of modules appearing in Galois theory