Triple

T32789659
Position Surface form Disambiguated ID Type / Status
Subject Galois extension E838591 entity
Predicate hasNormalSubextensionsCorrespondingTo P203275 FINISHED
Object normal subgroups of the Galois group 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: normal subgroups of the Galois group | Statement: [Galois extension, hasNormalSubextensionsCorrespondingTo, normal subgroups of the Galois group]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasNormalSubextensionsCorrespondingTo
Context triple: [Galois extension, hasNormalSubextensionsCorrespondingTo, normal subgroups of the Galois group]
  • A. hasNormalSubgroup
    Indicates that one group is a normal subgroup of another group, meaning it is invariant under conjugation by elements of the larger group.
  • B. hasParabolicSubgroupsCorrespondingTo
    Indicates that one mathematical structure possesses parabolic subgroups that correspond in a defined way to elements or substructures of another entity.
  • C. hasSubgroupIsomorphicTo
    Indicates that one group contains a subgroup that is structurally identical (isomorphic) to another specified group.
  • D. hasLatticeSubgroups
    Indicates that one mathematical structure contains subgroups that form a lattice under inclusion or related order operations.
  • E. isGaloisExtensionOf
    Indicates that one field is a Galois extension of another, meaning it is a normal and separable field extension whose automorphism group over the base field captures all its symmetries.
  • 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_69f3493b83f48190be335cd42465cecf completed April 30, 2026, 12:21 p.m.
NER Named-entity recognition batch_6a01487b73488190954eb5143e6f246e completed May 11, 2026, 3:09 a.m.
PD Predicate disambiguation batch_6a0145210ae481908da59b02efdbc397 completed May 11, 2026, 2:55 a.m.
PDg Predicate description generation batch_6a01487ac3608190946beee970e5559b completed May 11, 2026, 3:09 a.m.
Created at: May 1, 2026, 1:14 a.m.