Introduction to Geometry (Second Edition)
《Introduction to Geometry (Second Edition)》 · 第 53、75 页 · Theorem 2.21 及 Chapter 2「Notes」
The distinct automorphisms of $\mathbb F_{q^m}$ over $\mathbb F_q$ are exactly the mappings $\sigma_0,\sigma_1,\ldots,\sigma_{m-1}$, defined by $\sigma_j(\alpha)=\alpha^{q^j}$ for $\alpha\in\mathbb F_{q^m}$ and $0\leq j\leq m-1$. […] The automorphism $\sigma_1$ of $\mathbb F_{q^m}$ over $\mathbb F_q$, which generates all automorphisms of $\mathbb F_{q^m}$ over $\mathbb F_q$ by Theorem 2.21, is called the Frobenius automorphism of $\mathbb F_{q^m}$ over $\mathbb F_q$.