On a theorem by Serre
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- by Arne Ledet PDF
- Proc. Amer. Math. Soc. 128 (2000), 27-29 Request permission
Abstract:
We present a short proof of a theorem by Serre on the trace form of a finite separable field extension.References
- Jean-Pierre Serre, Cohomologie Galoisienne, Lecture Notes in Mathematics, Vol. 5, Springer-Verlag, Berlin-New York, 1973. Cours au Collège de France, Paris, 1962–1963; Avec des textes inédits de J. Tate et de Jean-Louis Verdier; Quatrième édition. MR 0404227
- Jean-Pierre Serre, L’invariant de Witt de la forme $\textrm {Tr}(x^2)$, Comment. Math. Helv. 59 (1984), no. 4, 651–676 (French). MR 780081, DOI 10.1007/BF02566371
- T. A. Springer, On the equivalence of quadratic forms, Nederl. Akad. Wetensch. Proc. Ser. A 62 = Indag. Math. 21 (1959), 241–253. MR 0108468
Additional Information
- Arne Ledet
- Affiliation: Department of Mathematics and Statistics, Queen’s University, Kingston, Ontario, Canada K7L 3N6
- Email: ledet@mast.queensu.ca
- Received by editor(s): March 7, 1998
- Published electronically: June 30, 1999
- Additional Notes: This work was supported by a Queen’s University Advisory Research Committee Postdoctoral Fellowship.
- Communicated by: Ronald M. Solomon
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 27-29
- MSC (1991): Primary 12G05
- DOI: https://doi.org/10.1090/S0002-9939-99-05101-1
- MathSciNet review: 1636903