English

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

Number Theory 2007-05-23 v1

Abstract

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

Keywords

Cite

@article{arxiv.math/0202224,
  title  = {Galois Module Structure of $p$th-Power Classes of Extensions of Degree p},
  author = {Ján Minác and John Swallow},
  journal= {arXiv preprint arXiv:math/0202224},
  year   = {2007}
}