Triple
T21277624
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | SO(1) |
E524430
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | trivial group |
C28301
|
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: trivial group Context triple: [SO(1), instanceOf, trivial group]
-
A.
finite simple group
A finite simple group is a finite group that has no nontrivial normal subgroups, meaning its only normal subgroups are the trivial group and the group itself.
-
B.
abelian group
chosen
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.
simple Lie group
A simple Lie group is a connected non-abelian Lie group whose Lie algebra is simple, meaning it has no nontrivial proper ideals and is not a direct sum of smaller Lie algebras.
-
D.
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.
-
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_69e0b516293c819089458ea2ec85f85e |
completed | April 16, 2026, 10:08 a.m. |
Created at: April 16, 2026, 4:02 p.m.