hasTrivialAbelianization
P77154
predicate
Indicates that the group’s abelianization is trivial, meaning its commutator subgroup is the whole group and it has no nontrivial abelian quotient.
All labels observed (3)
| Label | Occurrences |
|---|---|
| hasTrivialAbelianization canonical | 3 |
| abelianizationIsTrivial | 1 |
| hasTrivialAbelianizationFor | 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: hasTrivialAbelianization
Generated description
Indicates that the group’s abelianization is trivial, meaning its commutator subgroup is the whole group and it has no nontrivial abelian quotient.
Sample triples (5)
| Subject | Object |
|---|---|
| Co2 | true ⓘ |
| SL(2,C) | true ⓘ |
| Thompson group Th | true ⓘ |
| PSL(2,ℤ/Nℤ) | N = p prime, p ≥ 5 via predicate surface "hasTrivialAbelianizationFor" ⓘ |
| SL(2,7) | true via predicate surface "abelianizationIsTrivial" ⓘ |