hasAbelianization
P77186
predicate
Indicates that one algebraic structure is related to the abelian group obtained by quotienting it by its commutator subgroup (its abelianization).
All labels observed (3)
| Label | Occurrences |
|---|---|
| hasAbelianization canonical | 2 |
| abelianizationIs | 1 |
| hasAbelianQuotientByCenter | 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: hasAbelianization
Generated description
Indicates that one algebraic structure is related to the abelian group obtained by quotienting it by its commutator subgroup (its abelianization).
Sample triples (4)
| Subject | Object |
|---|---|
|
modular group PSL(2,Z)
surface form:
PSL(2,ℤ)
|
C₆ ⓘ |
| Heisenberg Lie algebra | true via predicate surface "hasAbelianQuotientByCenter" ⓘ |
| SL(2,ℤ) | cyclic group of order 12 via predicate surface "abelianizationIs" ⓘ |
| PGL(2,7) | C2 ⓘ |