isAutomorphismGroupOf
P97234
predicate
Indicates that a group is the full automorphism group consisting of all structure-preserving bijections (automorphisms) of a given mathematical object.
All labels observed (2)
| Label | Occurrences |
|---|---|
| isAutomorphismGroupOf canonical | 6 |
| realizesAsAutomorphismGroup | 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: isAutomorphismGroupOf
Generated description
Indicates that a group is the full automorphism group consisting of all structure-preserving bijections (automorphisms) of a given mathematical object.
Sample triples (7)
| Subject | Object |
|---|---|
| PSL(2,7) |
Fano plane
ⓘ
surface form:
Fano plane incidence structure
|
| M | Monster vertex operator algebra NERFINISHED ⓘ |
| M | moonshine module V^natural ⓘ |
| Griess algebra | Monster group via predicate surface "realizesAsAutomorphismGroup" NERFINISHED ⓘ |
|
PSL(2,\mathbb{C})
surface form:
PSL(2,ℂ)
|
Riemann sphere NERFINISHED ⓘ |
|
PSL(2,\mathbb{C})
surface form:
PSL(2,ℂ)
|
complex projective line ℂℙ¹ NERFINISHED ⓘ |
| PGL(2,7) | Fano plane NERFINISHED ⓘ |