Frobenius endomorphism

Definition with symbols
Let $$G$$ be a linear algebraic group over a field $$k$$ of positive characteristic $$p$$. A Frobenius endomorphism of $$G$$ is an endomorphism of $$G$$ such that some finite power of it is a standard Frobenius endomorphism.

Stronger properties

 * Standard Frobenius endomorphism

Weaker properties

 * Injective endomorphism