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On a theorem by Serre

Author(s): Arne Ledet
Journal: Proc. Amer. Math. Soc. 128 (2000), 27-29.
MSC (1991): Primary 12G05
Posted: June 30, 1999
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Abstract: We present a short proof of a theorem by Serre on the trace form of a finite separable field extension.

References:

[Se1]: J.-P. Serre, Cohomologie Galoisienne, Lecture Notes in Mathematics 5, Springer-Verlag, 1973. MR 53:8030
[Se2]: -, L'invariant de Witt de la forme $\operatorname{Tr} (x^{2})$ , Comm. Math. Helv. 59 (1984), 651-676. MR 86k:11067
[Sp]: T. A. Springer, On the Equivalence of Quadratic Forms, Proc. Neder. Acad. Sci. 62 (1959), 241-253. MR 21:7184


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