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.