Triple
T11918998
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Fitting lemma |
E283604
|
entity |
| Predicate | involvesConcept |
P531
|
FINISHED |
| Object | Fitting subgroup |
E283603
|
NE 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: Fitting subgroup | Statement: [Fitting lemma, involvesConcept, Fitting subgroup]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Fitting subgroup Context triple: [Fitting lemma, involvesConcept, Fitting subgroup]
-
A.
Fitting subgroup
chosen
The Fitting subgroup is a characteristic subgroup of a finite group formed by the product of all its nilpotent normal subgroups, playing a central role in the structure theory of finite groups.
-
B.
generalized Fitting subgroup
The generalized Fitting subgroup of a finite group is the product of its Fitting subgroup with all its components (subnormal quasisimple subgroups), forming a characteristic subgroup that plays a central role in the structure theory of finite groups.
-
C.
Frattini subgroup
The Frattini subgroup of a group is the intersection of all its maximal subgroups and plays a key role in understanding generators and the structure of finite groups.
-
D.
Fischer group Fi24′
The Fischer group Fi24′ is one of the 26 sporadic simple groups, notable as a large and highly structured finite simple group discovered by Bernd Fischer and closely related to the Monster group.
-
E.
Jordan–Hölder theorem
The Jordan–Hölder theorem is a fundamental result in group theory stating that any two composition series of a finite group have the same length and the same (up to order and isomorphism) simple factor groups.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
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_69d6ab2c07e88190ba13b0d21fd6cf33 |
completed | April 8, 2026, 7:23 p.m. |
| NER | Named-entity recognition | batch_69d8e8dff77481908cacf6ad03df34ac |
completed | April 10, 2026, 12:11 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69f48a61e120819089e44568ce7e99fe |
completed | May 1, 2026, 11:11 a.m. |
Created at: April 8, 2026, 9:44 p.m.