isPerfectGroup
P77137
predicate
Indicates that the group satisfies the definition of a perfect group, typically meaning it is equal to its own commutator subgroup (has no nontrivial abelian quotient).
Sample triples (7)
| Subject | Object |
|---|---|
| Co1 | true ⓘ |
| Monster group | true ⓘ |
|
special linear group SL(n,R)
surface form:
SL(n,ℝ)
|
true for n ≥ 2 ⓘ |
|
special linear group SL(n,C)
surface form:
SL(n,ℂ)
|
true ⓘ |
| Fischer–Griess Monster | true ⓘ |
| McLaughlin group | true ⓘ |
|
PSL(2,\mathbb{C})
surface form:
PSL(2,ℂ)
|
true ⓘ |