Étale group scheme

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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}}.

See also

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