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Results tagged with galois-theory
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user 7108
Galois theory, named after Évariste Galois, provides a connection between field theory and group theory. Using Galois theory, certain problems in field theory can be reduced to group theory, which is, in some sense, simpler and better understood.
21
votes
Does the category of (algebraically closed) fields of characteristic $p$ change when $p$ cha...
If you do not impose an algebraically closed condition, no two are equivalent. This basically follows from your (3). Namely, observe that
An extension is finite if and only if it has finitely many …
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