Galois group of a field extension
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7/7/2026, 12:42:35 PM · Ancient Tree
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The Galois group of a field extension $k\subseteq E$ is the group of $k$-automorphisms of $E$:1
The Galois group of a field extension $k\subseteq E$ is the [[Group|group]] of $k$-automorphisms of $E$:2
$$\operatorname{Gal}(E / k) \cong \operatorname{Aut}_k(E)$$Revision 284
7/7/2026, 12:42:04 PM · Ancient Tree
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The Galois group of a field extension $k\subseteq E$ is the group of $k$-automorphisms of $E$:
$$\operatorname{Gal}(E / k) \cong \operatorname{Aut}_k(E)$$