Galois Module Structure of pth-Power Classes of Extensions of Degree p

2002/02/21 by Ján Minác, John Swallow
Mathematics · #math.NT

paper · pdf

published as Israel J. Math. 138 (2003), 29--42

arxiv created 2002/02/21 · arxiv updated 2009/11/30

Abstract

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

Related

• Galois module structure of p^th power classes of abelian extensions of local fields
• Galois module structure of cyclic extensions of local Fields of characteristic zero
• Galois module structure of some elementary p-abelian extensions
• The first two cohomology groups of some Galois groups
• Galois module structure of the units modulo p^m of cyclic extensions of degree pⁿ