Étale group scheme

In mathematics, more precisely in algebra, an étale group scheme is a certain kind of group scheme.

Definition

A finite group scheme $G$ over a field $K$ is called an étale group scheme if it is represented by an étale K-algebra ${\mathfrak {R}}$ , i.e. if ${\mathfrak {R}}\otimes _{K}{\bar {K}}$ is isomorphic to ${\bar {K}}\times ...\times {\bar {K}}$ .

gollark: We have enough for 70 years of current production available, and the many, many ways to get more or use existing stuff more efficiently have just been ignored because they aren't needed now.

gollark: Uranium is plentiful!

gollark: Subsidies, maybe, or at least taxes on carbon-y fuel stuff.

gollark: and no stupid antinuclear hysteria, we would be better off.

gollark: If there was more research, less problematic government meddling with nuclear, snd

References

John Voight, Introduction to group schemes (PDF), Dartmouth College (lecture notes)

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