isGaloisExtensionOf
P72925
predicate
Indicates that one field is a Galois extension of another, meaning it is a normal and separable field extension whose automorphism group over the base field captures all its symmetries.
All labels observed (2)
| Label | Occurrences |
|---|---|
| isGaloisExtensionOf canonical | 2 |
| isGaloisOver | 1 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: isGaloisExtensionOf
Generated description
Indicates that one field is a Galois extension of another, meaning it is a normal and separable field extension whose automorphism group over the base field captures all its symmetries.
Sample triples (3)
| Subject | Object |
|---|---|
|
cyclotomic fields
surface form:
cyclotomic field
|
Q ⓘ |
| Gaussian rationals ℚ(i) | ℚ ⓘ |
| GF(p) | its prime field via predicate surface "isGaloisOver" ⓘ |