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Results tagged with galois-theory
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user 22131
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.
19
votes
Accepted
An extension of the Galois theory of Grothendieck
The point of view where this title comes from is that Grothendieck's theorem can be seen as a characterization of toposes of the form $BG$ for $G$ a profinite group. It shows that some toposes can be …
- 42.4k
11
votes
Galois theory, topos vs fundamental groups
I'm not sure I understand what you precisely want to know, so I'll try to clarify a few things from the topos theoretic point of view, which I hope will answer your questions:
Relation to Galois theo …
- 42.4k
10
votes
Relation between Galois theory and Etale Cohomology
The relation between Galois theory and etale cohomology is simple : what Galois theory of a Field $K$ said is that the etale topos of $Spec K$ is the topos of (the category of) continuous $G$ set whe …
- 42.4k