Triple

T24036585
Position Surface form Disambiguated ID Type / Status
Subject SL(n,ℂ) E595247 entity
Predicate hasParabolicSubgroups P154613 FINISHED
Object block upper triangular determinant 1 matrices 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: block upper triangular determinant 1 matrices | Statement: [SL(n,ℂ), hasParabolicSubgroups, block upper triangular determinant 1 matrices]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasParabolicSubgroups
Context triple: [SL(n,ℂ), hasParabolicSubgroups, block upper triangular determinant 1 matrices]
  • A. hasParabolicSubgroupsCorrespondingTo
    Indicates that one mathematical structure possesses parabolic subgroups that correspond in a defined way to elements or substructures of another entity.
  • B. hasMaximalCompactSubgroupOf
    Indicates that one mathematical group is the maximal compact subgroup contained within another group.
  • C. hasNonAbelianSylow2Subgroups
    Indicates that the Sylow 2-subgroups of a given group are non-abelian, i.e., their group operation is not commutative.
  • D. hasAutomorphismGroupContaining
    Indicates that the automorphism group of one mathematical structure includes the other group as a subgroup or component.
  • E. isHyperbolicTriangleGroup
    Indicates that a group is a triangle group whose defining triangle lies in hyperbolic geometry (i.e., has angles summing to less than π).
  • F. None of above. chosen

Provenance (4 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_69e288bf45f08190a1b6ed8cd0b9e86b completed April 17, 2026, 7:23 p.m.
NER Named-entity recognition batch_69f1d8d43884819093e9207a99ae2a70 completed April 29, 2026, 10:09 a.m.
PD Predicate disambiguation batch_69f1764345388190a3102b62ddb729b4 completed April 29, 2026, 3:08 a.m.
PDg Predicate description generation batch_69f1785afe3c81909be28986ffe944bf completed April 29, 2026, 3:17 a.m.
Created at: April 17, 2026, 9:56 p.m.