Triple
T36640372
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | PGL(2,7) |
E904567
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | projective general linear group |
C51330
|
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: projective general linear group Context triple: [PGL(2,7), instanceOf, projective general linear group]
-
A.
projective linear group
chosen
The projective linear group is the group of invertible linear transformations of a vector space modulo scalar multiples, equivalently the group of automorphisms of a projective space induced by linear maps.
-
B.
linear group
A linear group is a group of invertible matrices (or, equivalently, a group of linear transformations) over a field, closed under matrix multiplication and inversion.
-
C.
linear algebraic group
A linear algebraic group is a group that is also an affine algebraic variety, whose group operations (multiplication and inversion) are given by regular polynomial maps when the group is realized as a closed subgroup of some general linear group GLₙ.
-
D.
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.
-
E.
pseudogroup
A pseudogroup is a collection of local homeomorphisms (or diffeomorphisms) on a topological space that is closed under composition, inversion, restriction to open subsets, and gluing of compatible local maps, generalizing the notion of a group action to local symmetries.
- 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.