Category:Definitions/Galois Groups of Field Extensions
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This category contains definitions related to Galois Groups of Field Extensions.
Related results can be found in Category:Galois Groups of Field Extensions.
Let $L / K$ be a field extension.
The Galois group of $L / K$ is the subgroup of the automorphism group of $L$ consisting of field automorphisms that fix $K$ point-wise:
- $\Gal {L / K} = \set {\sigma \in \Aut L: \forall k \in K: \map \sigma k = k}$
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Pages in category "Definitions/Galois Groups of Field Extensions"
The following 7 pages are in this category, out of 7 total.