Triple
T26255019
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | SL(2,ℤ) |
E656692
|
entity |
| Predicate | containsSubgroupIsomorphicTo |
P97230
|
FINISHED |
| Object | free group on two generators |
—
|
LITERAL FINISHED |
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: free group on two generators | Statement: [SL(2,ℤ), containsSubgroupIsomorphicTo, free group on two generators]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: containsSubgroupIsomorphicTo Context triple: [SL(2,ℤ), containsSubgroupIsomorphicTo, free group on two generators]
-
A.
hasSubgroupIsomorphicTo
chosen
Indicates that one group contains a subgroup that is structurally identical (isomorphic) to another specified group.
-
B.
isMaximalSubgroupOf
Indicates that one group is a proper subgroup of another that is not contained in any larger proper subgroup of that group.
-
C.
isClosedSubgroupOf
Indicates that one group is a subgroup of another and is closed in the topological sense within that larger group.
-
D.
isFullyInvariantSubgroup
Indicates that a subgroup remains invariant under all endomorphisms of the parent group, not just its automorphisms.
-
E.
isCharacteristicSubgroup
Indicates that one subgroup is invariant under all automorphisms of the parent group, making it a characteristic subgroup of that group.
- 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_69ee5b4d25ac819086acb51184602576 |
completed | April 26, 2026, 6:37 p.m. |
| NER | Named-entity recognition | batch_69f7817daf00819098936402e75ab0a6 |
completed | May 3, 2026, 5:10 p.m. |
| PD | Predicate disambiguation | batch_69f780fc5ed88190b7200ee5a29940af |
completed | May 3, 2026, 5:08 p.m. |
Created at: April 26, 2026, 9:08 p.m.