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