From Artin Algebra section 16.5 Fixed Fields:
The orbit of the element $\beta_1 \in K$ is being considered.
Since we are looking at the automorphisms of $K$ and the orbit of some element, is there an associated group action on $K$?
2026-03-25 06:07:01.1774418821
If we have the fixed field $K^H$ and we consider the orbit of an element $\beta_1$, is there an associated group action?
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