Triple
T27802696
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cremona group of the projective plane |
E702288
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | group under composition |
C11692
|
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: group under composition Context triple: [Cremona group of the projective plane, instanceOf, group under composition]
-
A.
group (mathematics)
A group is a set equipped with a single binary operation that is closed, associative, has an identity element, and in which every element has an inverse.
-
B.
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.
-
C.
group
chosen
A group is a set equipped with a single binary operation that is closed, associative, has an identity element, and in which every element has an inverse.
-
D.
group-theoretic construction
A group-theoretic construction is a method or process that builds new groups or analyzes existing ones using operations and principles from group theory, such as forming subgroups, quotient groups, products, or extensions.
-
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_69ef8408e0588190977cffa32dc33a29 |
completed | April 27, 2026, 3:43 p.m. |
Created at: April 27, 2026, 5:36 p.m.