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Results tagged with galois-theory
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user 4790
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.
9
votes
Accepted
Grothendieck's Galois theory without finiteness hypotheses
Check out Section 2 of Noohi's paper Fundamental groups of topological stacks with slice property, Algebr. Geom. Topol. 8 (2008) pp 1333–1370, doi:10.2140/agt.2008.8.1333, arXiv:0710.2615.
- 27k
33
votes
Accepted
Profinite groups as étale fundamental groups
[Edit:] The answer should be positive, that is, every profinite group appears as the fundamental group of a scheme. Here is a sketch of proof.
First of all, I claim that for any finite group $G$ ther …
- 27k