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Ring & Field Theory
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Fundamental Theorem of Galois Theory
Fundamental Theorem of Galois Theory
Connects field theory and group theory.
📜
The statement of the theorem
Establishes a correspondence between subfields of a Galois extension and subgroups of its Galois group.\n
K
⊆
L
⟷
Gal
(
L
/
K
)
K \subseteq L \longleftrightarrow \text{Gal}(L/K)
K
⊆
L
⟷
Gal
(
L
/
K
)
Source: Wikipedia