Triple
T23737424
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Burnside's lemma |
E586575
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | lemma in group theory |
C30620
|
CONCEPT FINISHED |
How this triple was built (1 step)
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.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: lemma in group theory Context triple: [Burnside's lemma, instanceOf, lemma in group theory]
-
A.
result in group theory
chosen
A result in group theory is a proven statement or theorem about the algebraic structure and properties of groups and their related constructs.
-
B.
abelian group
An abelian group is a set equipped with an associative binary operation that has an identity element and inverses for every element, and for which the operation is commutative.
-
C.
lemma in topology
A lemma in topology is a proven auxiliary statement about topological structures (such as open sets, continuity, or compactness) used as a stepping stone to establish more significant theorems.
-
D.
group theory concept
A group theory concept is an abstract mathematical idea that studies sets equipped with a single associative operation satisfying identity and inverse properties, used to analyze symmetry and structure across diverse mathematical systems.
-
E.
concept in group theory
A class in group theory is a subset of group elements that are equivalent under conjugation, meaning each element can be written as g⁻¹ag for some fixed a and varying g in the group.
- F. None of above.
Provenance (1 batch)
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_69e24907dc9c8190be074c9c96a0ec2d |
completed | April 17, 2026, 2:51 p.m. |
Created at: April 17, 2026, 7:11 p.m.