Quartic Exercises

Knus, Max-Albert;Tignol, Jean-Pierre
(2003) International Journal of Mathematics and Mathematical Sciences — Vol. 2003, n° 68, p. 4263-4323 (2003)

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Authors
  • Knus, Max-AlbertEidgenössische Technische Hochschule Zürich
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  • Tignol, Jean-Pierreorcid-logoUCLouvain
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Abstract
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.
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Knus, M.-A., & Tignol, J.-P. (2003). Quartic Exercises. International Journal of Mathematics and Mathematical Sciences, 2003(68), 4263-4323. https://doi.org/10.1155/S0161171203203458 (Original work published 2003)