Quartic exercises
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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203203458 |
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| Summary: | 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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| ISSN: | 0161-1712 1687-0425 |