Triple
T36640393
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | PGL(2,7) |
E904567
|
entity |
| Predicate | hasSimpleNormalSubgroup |
P63683
|
FINISHED |
| Object | PSL(2,7) |
—
|
NE NERFINISHED |
How this triple was built (2 steps)
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.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: PSL(2,7) | Statement: [PGL(2,7), hasSimpleNormalSubgroup, PSL(2,7)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasSimpleNormalSubgroup Context triple: [PGL(2,7), hasSimpleNormalSubgroup, PSL(2,7)]
-
A.
hasNormalSubgroup
chosen
Indicates that one group is a normal subgroup of another group, meaning it is invariant under conjugation by elements of the larger group.
-
B.
isCharacteristicInEveryNormalSubgroup
Indicates that a subgroup remains invariant under every automorphism of each normal subgroup of the group.
-
C.
isSmallestSymmetricGroupWithNonSolvableSubgroup
Indicates that a group is the smallest symmetric group (by degree) that contains at least one subgroup which is not solvable.
-
D.
hasTrivialOuterAutomorphismGroup
Indicates that the outer automorphism group associated with an object is trivial, meaning it contains only the identity element and thus no nontrivial outer automorphisms exist.
-
E.
hasTrivialAbelianization
Indicates that the group’s abelianization is trivial, meaning its commutator subgroup is the whole group and it has no nontrivial abelian quotient.
- F. None of above.
Provenance (3 batches)
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. |
| NER | Named-entity recognition | batch_69fe2f078c24819082ba396b56f02808 |
completed | May 8, 2026, 6:44 p.m. |
| PD | Predicate disambiguation | batch_69fe228fe1988190baf3bb34897f3dbe |
completed | May 8, 2026, 5:51 p.m. |
Created at: May 3, 2026, 4:11 p.m.