$K$-automorphism

Let $L$ be a field extension of a field $K$ . A $K$ -automorphism of $L$ is a bijective $K$ -morphism
$\varphi:L\rightarrow L.$

Practice this concept with exercises

Let $k\subseteq E$ be a field extension. Verify that the set of $k$ -automorphisms of $E$ is a group under composition. It is called the Galois group.

Open exercise

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