Artin–Schreier extension
= Artin–Schreier extension
{c}
An Artin–Schreier extension is a field extension generated by a root $\alpha$ of an irreducible <Artin–Schreier polynomial>. It is a cyclic <Galois extension> of degree $p$, with automorphisms $\alpha\mapsto\alpha+c$ for $c\in\mathbb F_p$.