Triple
T11918963
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Fitting subgroup |
E283603
|
entity |
| Predicate | relatedConcept |
P37
|
FINISHED |
| Object |
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.
|
E957686
|
NE FINISHED |
How this triple was built (4 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: generalized Fitting subgroup | Statement: [Fitting subgroup, relatedConcept, generalized Fitting subgroup]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: generalized Fitting subgroup Context triple: [Fitting subgroup, relatedConcept, generalized Fitting subgroup]
-
A.
Fitting subgroup
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.
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.
-
C.
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.
-
D.
Frattini
Frattini is an Italian surname associated with various notable figures in fields such as mathematics, politics, and the arts.
-
E.
Zassenhaus conjecture
The Zassenhaus conjecture is a prominent open problem in group theory concerning the structure of units in integral group rings and their relation to the underlying finite group.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: generalized Fitting subgroup Triple: [Fitting subgroup, relatedConcept, generalized Fitting subgroup]
Generated description
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.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: generalized Fitting subgroup Target entity description: 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.
-
A.
Fitting subgroup
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.
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.
-
C.
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.
-
D.
Frattini
Frattini is an Italian surname associated with various notable figures in fields such as mathematics, politics, and the arts.
-
E.
Zassenhaus conjecture
The Zassenhaus conjecture is a prominent open problem in group theory concerning the structure of units in integral group rings and their relation to the underlying finite group.
- F. None of above. chosen
Provenance (5 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_69f47195df0c8190a27abfe58f221f59 |
completed | May 1, 2026, 9:25 a.m. |
| NEDg | Description generation | batch_69f47b755f808190acb2fb31473d2405 |
completed | May 1, 2026, 10:07 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69f47d8bbae8819088d48b300291ef74 |
completed | May 1, 2026, 10:16 a.m. |
Created at: April 8, 2026, 9:44 p.m.