Field with trivial automorphism group
This article defines a field property: a property that can be evaluated to true/false for any field.
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Definition
A field with trivial automorphism group is a field whose automorphism group is trivial.
Relation with other properties
Stronger properties
- Prime field: For full proof, refer: Isomorphism of fields fixes every element of prime subfield
- Archimedian real-closed field: For full proof, refer: Archimedean and real-closed implies trivial automorphism group