I will point out that the tag (abstract-algebra) is deprecated on MathOverflow and should not be used, see
the tag-info. Perhaps somebody can think of good tags to choose as a replacement of this tag. (At the moment, the question is also missing
a top-level tag. —
Martin Sleziak 1 min ago
Let $L|K$ be a finite separable extension. Denote the algebraic closure of $K$ by $\bar K$.
$\forall x\in L$, denote $d=[L:K(x)]$ and $m=[K(x):K]$.
How to show the set $\operatorname{Hom}_K(L,\bar{K})$ of all $K$-embeddings of $L$ is partitioned by the equivalence relation $$\sigma\sim \tau \L...
