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).
All labels observed (1)
| Label | Occurrences |
|---|---|
| isPerfectGroup canonical | 7 |
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: isPerfectGroup
Generated description
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 ⓘ |
|
SL(n,ℝ)
linked to:
special linear group SL(n,R)
|
true for n ≥ 2 ⓘ |
|
SL(n,ℂ)
linked to:
special linear group SL(n,C)
|
true ⓘ |
| Fischer–Griess Monster | true ⓘ |
| McLaughlin group | true ⓘ |
|
PSL(2,ℂ)
linked to:
PSL(2,\mathbb{C})
|
true ⓘ |