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 ${\bar {K}}\times ...\times {\bar {K}}$.

References

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