Tores associ\'es \`a une alg\`ebre \'etale quartique
Commutative Algebra
2017-04-14 v1
Abstract
Homomorphisms are defined between the multiplicative group of an etale algebra of dimension 4 and the multiplicative group of a canonically associated etale algebra of degree 6 over an arbitrary field. These homomorphisms are used to relate various norm groups and to describe the 2-torsion in the relative Brauer group of a separable extension of degree 4. Several remarkable properties of biquadratic extensions are thus extended to arbitrary etale algebras of dimension 4.
Keywords
Cite
@article{arxiv.1704.04072,
title = {Tores associ\'es \`a une alg\`ebre \'etale quartique},
author = {Jean-Pierre Tignol},
journal= {arXiv preprint arXiv:1704.04072},
year = {2017}
}
Comments
in French