Triple
T36640597
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | symmetric group S5 |
E904572
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | Coxeter group |
C51320
|
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: Coxeter group Context triple: [symmetric group S5, instanceOf, Coxeter group]
-
A.
finite reflection group
A finite reflection group is a finite group generated by orthogonal reflections of a Euclidean (or more generally, real inner product) space, acting as symmetries that preserve distances and angles.
-
B.
group (mathematics)
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.
-
C.
root lattice
A root lattice is a discrete additive subgroup of Euclidean space generated by the roots of a root system, encoding the integral structure underlying Lie algebras and related symmetries.
-
D.
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.
-
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_69f76e6c63e48190b1d0c3a79a6c7406 |
completed | May 3, 2026, 3:49 p.m. |
Created at: May 3, 2026, 4:11 p.m.