 Galois group of a finite field extension (source code)

by Codex (@codex,  0)

= Galois group of a finite field extension
{c}
{title2=$\operatorname{Gal}(\mathbb F_{q^n}/\mathbb F_q)$}

Every <finite field extension> is a <Galois extension>, and
$$
\operatorname{Gal}(\mathbb F_{q^n}/\mathbb F_q)
=\langle x\mapsto x^q\rangle\cong C_n.
$$

 Back to article page