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BASES NORMALES AUTODUALES ET GROUPES UNITAIRES EN CARACT ÉRISTIQUE 2

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An Erratum to this article was published on 04 February 2015

Abstract

Let k be a field of characteristic 2, and let L/k be a finite Galois extension, with Galois group G. We show the equivalence of the following two properties:

(∗) The group G is generated by elements of order 2 and by elements of odd order.

(∗∗) There exists x ∈ L such that Tr(x) = 1 and Tr(x.g(x)) = 0 for every g ∈ G, g = 1.

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E. B. Dynkin pour son 90-ième anniversaire

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SERRE, JP. BASES NORMALES AUTODUALES ET GROUPES UNITAIRES EN CARACT ÉRISTIQUE 2. Transformation Groups 19, 643–698 (2014). https://doi.org/10.1007/s00031-014-9269-6

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