minimalFaithfulPermutationDegree
P77138
predicate
Indicates the smallest degree (number of points) of a permutation representation on which a group can act faithfully (injectively) via permutations.
All labels observed (4)
| Label | Occurrences |
|---|---|
| minimalFaithfulPermutationDegree canonical | 5 |
| degreeOfPermutationRepresentation | 1 |
| minimalFaithfulPermutationDegreeApprox | 1 |
| minimalFaithfulPermutationRepresentation | 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: minimalFaithfulPermutationDegree
Generated description
Indicates the smallest degree (number of points) of a permutation representation on which a group can act faithfully (injectively) via permutations.
Sample triples (8)
| Subject | Object |
|---|---|
| Co1 | 98280 ⓘ |
| PSL(2,7) | 8 via predicate surface "degreeOfPermutationRepresentation" ⓘ |
| PSL(2,7) | 7 ⓘ |
| Held group | 2058 ⓘ |
| Held group | transitive of degree 2058 via predicate surface "minimalFaithfulPermutationRepresentation" ⓘ |
| Janko group J4 | 173067389 ⓘ |
| Janko group J4 | 1.7×10^8 via predicate surface "minimalFaithfulPermutationDegreeApprox" ⓘ |
| McL | 275 ⓘ |