hasTrivialCenter
P77136
predicate
Indicates that the group’s center consists only of the identity element, meaning it has no nontrivial elements that commute with all others.
All labels observed (4)
| Label | Occurrences |
|---|---|
| hasTrivialCenter canonical | 14 |
| hasTrivialCenterFor | 1 |
| isCenterTrivial | 1 |
| isCenterTrivialFor | 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: hasTrivialCenter
Generated description
Indicates that the group’s center consists only of the identity element, meaning it has no nontrivial elements that commute with all others.
Sample triples (17)
| Subject | Object |
|---|---|
| Co1 | true ⓘ |
| Co2 | true ⓘ |
| Monster group | true ⓘ |
| Co3 | true ⓘ |
| PSL(2,7) | true ⓘ |
| affine group of R^n | n ≥ 2 via predicate surface "hasTrivialCenterFor" ⓘ |
| Harada–Norton group | true ⓘ |
| Fischer–Griess Monster | true ⓘ |
| M | true ⓘ |
| Held group | true ⓘ |
| McLaughlin group | true ⓘ |
| Thompson group Th | true via predicate surface "isCenterTrivial" ⓘ |
| Janko group J4 | true ⓘ |
| PSL(2,ℤ/Nℤ) | N = p prime, p ≥ 3 via predicate surface "isCenterTrivialFor" ⓘ |
| McL | true ⓘ |
| S5 | true ⓘ |
| symmetric group S5 | true ⓘ |