Bases normales autoduales et groupes unitaires en caractéristique 2. Serre, J. Transformation Groups, 19(2):643--698, June, 2014.
doi  abstract   bibtex   
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.
@article{serre_bases_2014,
	title = {Bases normales autoduales et groupes unitaires en caractéristique 2},
	volume = {19},
	doi = {10.1007/s00031-014-9269-6},
	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.},
	language = {en},
	number = {2},
	urldate = {2014-07-30},
	journal = {Transformation Groups},
	author = {Serre, Jean-Pierre},
	month = jun,
	year = {2014},
	keywords = {Serre},
	pages = {643--698},
	annote = {Lien de la fiche : http://link.springer.com/article/10.1007/s00031-014-9269-6},
	file = {Snapshot:C\:\\Users\\consultation\\AppData\\Roaming\\Mozilla\\Firefox\\Profiles\\1rk8mjlp.julien\\zotero\\storage\\EIE4I672\\s00031-014-9269-6.html:text/html}
}

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