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Canonical static concept record
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For a subgroup of field automorphisms of , the subfield consisting of elements fixed by every member of .
wp-fixed-fieldmilne-fields-galois-theoryEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Each automorphism subgroup determines an intermediate fixed field.
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
milne-fields-galois-theoryEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Elements fixed by a group of field automorphisms are closed under the field operations and form a subfield.
Pass canonically from a stronger object to structure it determines, or forget part of the data while retaining a valid weaker structure. The carrier may change under a canonical induced construction.
milne-fields-galois-theory