%0 Journal Article %T Quartic exercises %A Max-Albert Knus %A Jean-Pierre Tignol %J International Journal of Mathematics and Mathematical Sciences %D 2003 %I Hindawi Publishing Corporation %R 10.1155/s0161171203203458 %X 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. %U http://www.hindawi.com/journals/ijmms/2003/284672/abs/