Example. characteristic 2 [22016D]
Example. characteristic 2 [22016D]
(D&F Example (8) at p.566) The inseparable extension $\mathbb{F}_{2}(x)$ over $\mathbb{F}_{2}(t)$ where $x^{2} - t = 0$ is not Galois.
(D&F Example (8) at p.566) The inseparable extension $\mathbb{F}_{2}(x)$ over $\mathbb{F}_{2}(t)$ where $x^{2} - t = 0$ is not Galois.