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- W2964165763 abstract "Let L/K be a separable field extension of degree 6. A 1867 theorem of P. Joubert asserts that if char(K)≠2, then L is generated over K by an element whose minimal polynomial is of the form t6+at4+bt2+ct+d for some a,b,c,d∈K. We show that this theorem fails in characteristic 2. Soit L/K une extension de corps séparable de degré 6. En 1867, P. Joubert a démontré que, si la caractéristique de K est différente de 2, l'extension L/K est engendrée par un élément dont le polynôme minimal est de la forme t6+at4+bt2+ct+d, pour des éléments convenables a,b,c,d∈K. Dans cette note, nous démontrons que ce théorème ne s'étend pas à la caractéristique 2." @default.
- W2964165763 created "2019-07-30" @default.
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- W2964165763 date "2014-10-01" @default.
- W2964165763 modified "2023-09-27" @default.
- W2964165763 title "Joubert's theorem fails in characteristic 2" @default.
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- W2964165763 doi "https://doi.org/10.1016/j.crma.2014.08.004" @default.
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