The first two cohomology groups of some Galois groups
Number Theory
2007-05-23 v1
Abstract
We investigate the first two Galois cohomology groups of -extensions over a base field which does not necessarily contain a primitive th root of unity. We use twisted coefficients in a systematic way. We describe field extensions which are classified by certain residue classes modulo th powers of a related field, and we obtain transparent proofs and slight generalizations of some classical results of Albert. The potential application to the cyclicity question for division algebras of degree is outlined.
Cite
@article{arxiv.math/0304202,
title = {The first two cohomology groups of some Galois groups},
author = {Jan Minac and Adrian Wadsworth},
journal= {arXiv preprint arXiv:math/0304202},
year = {2007}
}