Triple

T36640416
Position Surface form Disambiguated ID Type / Status
Subject PGL(2,7) E904567 entity
Predicate hasMinimalNormalSubgroup P63683 FINISHED
Object PSL(2,7) NE NERFINISHED

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: PSL(2,7) | Statement: [PGL(2,7), hasMinimalNormalSubgroup, PSL(2,7)]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasMinimalNormalSubgroup
Context triple: [PGL(2,7), hasMinimalNormalSubgroup, PSL(2,7)]
  • A. hasNormalSubgroup chosen
    Indicates that one group is a normal subgroup of another group, meaning it is invariant under conjugation by elements of the larger group.
  • B. isCharacteristicInEveryNormalSubgroup
    Indicates that a subgroup remains invariant under every automorphism of each normal subgroup of the group.
  • C. hasMaximalSubgroupOrder
    Indicates that the subgroup in question has the greatest possible order (size) among all proper subgroups of the given group.
  • D. isMaximalSubgroupOf
    Indicates that one group is a proper subgroup of another that is not contained in any larger proper subgroup of that group.
  • E. isSmallestSymmetricGroupWithNonSolvableSubgroup
    Indicates that a group is the smallest symmetric group (by degree) that contains at least one subgroup which is not solvable.
  • F. None of above.

Provenance (3 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_69f76e6c63e48190b1d0c3a79a6c7406 completed May 3, 2026, 3:49 p.m.
NER Named-entity recognition batch_69fd553d7cb881908d243e7a9f30ac85 completed May 8, 2026, 3:15 a.m.
PD Predicate disambiguation batch_69fd514dcb1c81908333c70d7edd79c9 completed May 8, 2026, 2:58 a.m.
Created at: May 3, 2026, 4:11 p.m.