Étale group scheme explained

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

Definition

G over a field K is called an étale group scheme if it is represented by an étale K-algebra ak{R} , i.e. if ak{R} ⊗ _{K} \bar{K} is isomorphic to \bar{K} x ... x \bar{K}