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.
Observed surface forms (3)
- hasTrivialCenterFor ×1
- isCenterTrivial ×1
- isCenterTrivialFor ×1
Sample triples (17)
| Subject | Object |
|---|---|
| Co1 | true ⓘ |
| Co2 | true ⓘ |
| Co3 | true ⓘ |
| Fischer–Griess Monster | true ⓘ |
| Harada–Norton group | true ⓘ |
| Held group | true ⓘ |
| Janko group J4 | true ⓘ |
| M | true ⓘ |
| McL | true ⓘ |
| McLaughlin group | true ⓘ |
| Monster group | true ⓘ |
| PSL(2,7) | true ⓘ |
| PSL(2,ℤ/Nℤ) | N = p prime, p ≥ 3 via predicate surface "isCenterTrivialFor" ⓘ |
| S5 | true ⓘ |
| Thompson group Th | true via predicate surface "isCenterTrivial" ⓘ |
| affine group of R^n | n ≥ 2 via predicate surface "hasTrivialCenterFor" ⓘ |
| symmetric group S5 | true ⓘ |