Triple

T26254388
Position Surface form Disambiguated ID Type / Status
Subject McLaughlin group E656679 entity
Predicate hasPointStabilizer P63685 FINISHED
Object U4(3)
U4(3) is a finite unitary group of 4×4 matrices over the field with 9 elements, notable in group theory as the point stabilizer subgroup within the sporadic McLaughlin simple group.
E1713573 NE FINISHED

How this triple was built (3 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: U4(3) | Statement: [McLaughlin group, hasPointStabilizer, U4(3)]
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: U4(3)
Triple: [McLaughlin group, hasPointStabilizer, U4(3)]
Generated description
U4(3) is a finite unitary group of 4×4 matrices over the field with 9 elements, notable in group theory as the point stabilizer subgroup within the sporadic McLaughlin simple group.
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasPointStabilizer
Context triple: [McLaughlin group, hasPointStabilizer, U4(3)]
  • A. hasStabilizerOfPoint chosen
    Indicates that an entity serves as the stabilizer (the subgroup or structure that leaves a given point fixed) of a specified point in a given context or space.
  • B. hasAutomorphismGroupContaining
    Indicates that the automorphism group of one mathematical structure includes the other group as a subgroup or component.
  • C. hasParabolicSubgroups
    Indicates that one mathematical object (typically a group) possesses parabolic subgroups related to it, usually in the sense of subgroup structures defined by a parabolic construction.
  • D. hasCollineationGroup
    Indicates that an object (such as a geometric or incidence structure) is associated with a group of collineations, i.e., all structure-preserving transformations that map lines to lines.
  • E. isMaximalSymmetryGroupOf
    Indicates that a group represents the largest possible symmetry group for a given object or structure, such that no strictly larger symmetry group of that object exists containing it.
  • F. None of above.

Provenance (6 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_69f6d6a6b04c8190bee4cf9c00665ef7 completed May 3, 2026, 5:01 a.m.
NED1 Entity disambiguation (via context triple) batch_6a1185aaa938819094c6a7f051289d3d completed May 23, 2026, 10:47 a.m.
NEDg Description generation batch_6a11862050608190bf26431a0fb90b07 completed May 23, 2026, 10:49 a.m.
NED2 Entity disambiguation (via description) batch_6a1186c04c2c8190a5e70c9d9a5cbeb8 completed May 23, 2026, 10:51 a.m.
PD Predicate disambiguation batch_69f6d26ceb08819091c71c001e954936 completed May 3, 2026, 4:43 a.m.
Created at: April 26, 2026, 9:08 p.m.