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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| _version_ | 1832550025035513856 |
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| author | Max-Albert Knus Jean-Pierre Tignol |
| author_facet | Max-Albert Knus Jean-Pierre Tignol |
| author_sort | Max-Albert Knus |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ab3652af8d3640499686e9cc5e51fba3 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ab3652af8d3640499686e9cc5e51fba32025-02-03T06:08:04ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003684263432310.1155/S0161171203203458Quartic exercisesMax-Albert Knus0Jean-Pierre Tignol1Departement Mathematik, ETH Zentrum, Zürich CH-8092, SwitzerlandInstitut de Mathématique Pure et Appliquée, Université Catholique de Louvain, Louvain-la-Neuve B-1348, BelgiumA 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.http://dx.doi.org/10.1155/S0161171203203458 |
| spellingShingle | Max-Albert Knus Jean-Pierre Tignol Quartic exercises International Journal of Mathematics and Mathematical Sciences |
| title | Quartic exercises |
| title_full | Quartic exercises |
| title_fullStr | Quartic exercises |
| title_full_unstemmed | Quartic exercises |
| title_short | Quartic exercises |
| title_sort | quartic exercises |
| url | http://dx.doi.org/10.1155/S0161171203203458 |
| work_keys_str_mv | AT maxalbertknus quarticexercises AT jeanpierretignol quarticexercises |