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Quartic Exercises

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Knus, Max-Albert [Eidgenössische Technische Hochschule Zürich] Tignol, Jean-Pierre [UCL]

A correspondence between quartic étale algebras over a field and quadratic étale extensions of cubic étale algebras is set up and investigated. The basic constructions are laid out in general for sets with a profinite group action and for torsors, and translated in terms of étale algebras and Galois algebras. A parametrization of cyclic quartic algebras is given.

Document type Article de périodique (Journal article)
Access type Accès restreint
Publication date 2003
Language Anglais
Journal information "International Journal of Mathematics and Mathematical Sciences" - Vol. 2003, no. 68, p. 4263-4323 (2003)
Peer reviewed yes
Publisher Hindawi Publishing Corporation ((United States) New York)
issn 0161-1712
Publication status Publié
Affiliations Eidgenössische Technische Hochschule Zürich - Departement Mathematik
UCL - SC/MATH - Département de mathématique
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Bibliographic reference Knus, Max-Albert ; Tignol, Jean-Pierre. Quartic Exercises. In: International Journal of Mathematics and Mathematical Sciences, Vol. 2003, no. 68, p. 4263-4323 (2003)
Permanent URL http://hdl.handle.net/2078.1/79764