Sur les $p$-corps
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- by M. N’Kanza PDF
- Proc. Amer. Math. Soc. 127 (1999), 2587-2590 Request permission
Abstract:
Here we give new examples of fields in characteristic $2$ whose $u$-invariant and $\hat {u}$-invariant are different: $u(K) = 2, \hat {u}(K) = 2^m$ or $\infty (m \in \mathbb {N}, m \geq 1)$. These fields are also $p$-fields. Résumé. Nous donnons ici de nouveaux exemples de corps $K$ en caractéristique $2$ dont le $u$-invariant et le $\hat u$-invariant diffèrent. Plus précisément: $u(K) = 2$ et $\hat {u}(K) = 2^m$ ou $\infty (m \in \mathbb {N}, m \geq 1)$. Ces corps sont aussi des $p$-corps.References
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Additional Information
- M. N’Kanza
- Affiliation: Université de Mons, Faculté des Sciences, Département de Mathématique, Avenue V. Maistriau, $15$, B- $7000$ Mons, Belgique
- Received by editor(s): April 2, 1997
- Received by editor(s) in revised form: November 18, 1997
- Published electronically: April 9, 1999
- Additional Notes: Je remercie le Professeur P. Mammone pour les nombreux entretiens que nous avions eus ensemble lors de la préparation de ce travail-ci de ma thèse annexe (présentée le 26 Juin 1991 à l’Université de Mons).
- Communicated by: Lance W. Small
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 2587-2590
- MSC (1991): Primary 11Exx
- DOI: https://doi.org/10.1090/S0002-9939-99-04508-6
- MathSciNet review: 1458257