Triple
T26254943
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | PSL(2,ℤ/Nℤ) |
E656691
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | quotient group |
C30619
|
CONCEPT FINISHED |
How this triple was built (1 step)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: quotient group Context triple: [PSL(2,ℤ/Nℤ), instanceOf, quotient group]
-
A.
subgroup
A subgroup is a subset of a group that is itself a group under the same binary operation, containing the identity, inverses, and being closed under the operation.
-
B.
abelian group
An abelian group is a set equipped with an associative binary operation that has an identity element and inverses for every element, and for which the operation is commutative.
-
C.
result in group theory
A result in group theory is a proven statement or theorem about the algebraic structure and properties of groups and their related constructs.
-
D.
group theory concept
chosen
A group theory concept is an abstract mathematical idea that studies sets equipped with a single associative operation satisfying identity and inverse properties, used to analyze symmetry and structure across diverse mathematical systems.
-
E.
representation of a group
A representation of a group is a homomorphism from that group into the group of linear transformations of a vector space, allowing the group’s abstract elements to be studied via concrete matrices or operators.
- F. None of above.
Provenance (1 batch)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69ee5b4d25ac819086acb51184602576 |
completed | April 26, 2026, 6:37 p.m. |
Created at: April 26, 2026, 9:08 p.m.