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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63403For 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.Number TheoryGalois Module Structure of $p$th-Power Classes of Extensions of Degree ptext