Triple
T26254942
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | PSL(2,ℤ/Nℤ) |
E656691
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | projective 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 linear group Context triple: [PSL(2,ℤ/Nℤ), instanceOf, projective linear group]
-
A.
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.
-
B.
projective plane of order 2
A projective plane of order 2 is a finite incidence structure with 7 points and 7 lines where each line contains 3 points, each point lies on 3 lines, and any two distinct points (or lines) determine a unique line (or point).
-
C.
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.
-
D.
finite projective plane
A finite projective plane is a finite incidence structure of points and lines in which any two distinct points lie on a unique common line, any two distinct lines meet in a unique common point, and there exist four points no three of which are collinear.
-
E.
real algebraic group
A real algebraic group is a group that is also a real algebraic variety, with group operations (multiplication and inversion) given by regular (polynomial) maps defined over the real numbers.
- F. None of above. chosen
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.