Field with trivial automorphism group: Difference between revisions
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Revision as of 17:18, 10 May 2009
This article defines a field property: a property that can be evaluated to true/false for any field.
View a complete list of field properties|View a complete list of field extension properties
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
- Real-closed field: For full proof, refer: Real-closed implies trivial automorphism group