Field with trivial automorphism group: Difference between revisions
(Created page with '{{field property}} ==Definition== A '''field with trivial automorphism group''' is a field whose automorphism group i...') |
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* [[Weaker than::Prime field]]: {{proofat|[[Isomorphism of fields fixes every element of prime subfield]]}} | * [[Weaker than::Prime field]]: {{proofat|[[Isomorphism of fields fixes every element of prime subfield]]}} | ||
* [[Weaker than:: | * [[Weaker than::Archimedian real-closed field]]: {{proofat|[[Archimedean and real-closed implies trivial automorphism group]]}} | ||
Latest revision as of 21:57, 14 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
- Archimedian real-closed field: For full proof, refer: Archimedean and real-closed implies trivial automorphism group