GaloisGroupOver
P72958
predicate
Indicates the relationship where a group is the Galois group of a given field extension, capturing the automorphisms of the extension field that fix the base field.
All labels observed (2)
| Label | Occurrences |
|---|---|
| GaloisGroupOver canonical | 1 |
| isGaloisGroupOf | 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: GaloisGroupOver
Generated description
Indicates the relationship where a group is the Galois group of a given field extension, capturing the automorphisms of the extension field that fix the base field.
Sample triples (2)
| Subject | Object |
|---|---|
| Gaussian rationals ℚ(i) | cyclic group of order 2 ⓘ |
| S5 | generic irreducible quintic polynomial over Q via predicate surface "isGaloisGroupOf" ⓘ |