Fitting series
E283607
The Fitting series is a sequence of characteristic subgroups of a finite group that generalizes the Fitting subgroup to analyze the group's nilpotent structure layer by layer.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Fitting series canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T2636374 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Fitting series Context triple: [Hans Fitting, notableConcept, Fitting series]
-
A.
Fitter
Fitter is the NATO reporting name for the Soviet-designed Sukhoi Su-17/20/22 family of variable-sweep wing fighter-bomber aircraft.
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B.
Seri
The Seri are an Indigenous people of northwestern Mexico, traditionally living along the Gulf of California coast and known for their rich maritime culture, distinctive language, and artisanal crafts.
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C.
Fittja
Fittja is a suburban district in the southern part of the Stockholm metropolitan area in Sweden, known for its diverse population and large-scale postwar housing.
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D.
The Fit
The Fit is a literary work by British novelist and critic Philip Hensher, known for his sharp social observation and nuanced character portrayal.
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E.
Hahn series
Hahn series are formal power series with exponents in an ordered abelian group and well-ordered supports, providing a general framework for constructing large ordered fields that include structures like the surreal numbers.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Fitting series Target entity description: The Fitting series is a sequence of characteristic subgroups of a finite group that generalizes the Fitting subgroup to analyze the group's nilpotent structure layer by layer.
-
A.
Fitter
Fitter is the NATO reporting name for the Soviet-designed Sukhoi Su-17/20/22 family of variable-sweep wing fighter-bomber aircraft.
-
B.
Seri
The Seri are an Indigenous people of northwestern Mexico, traditionally living along the Gulf of California coast and known for their rich maritime culture, distinctive language, and artisanal crafts.
-
C.
Fittja
Fittja is a suburban district in the southern part of the Stockholm metropolitan area in Sweden, known for its diverse population and large-scale postwar housing.
-
D.
The Fit
The Fit is a literary work by British novelist and critic Philip Hensher, known for his sharp social observation and nuanced character portrayal.
-
E.
Hahn series
Hahn series are formal power series with exponents in an ordered abelian group and well-ordered supports, providing a general framework for constructing large ordered fields that include structures like the surreal numbers.
- F. None of above. chosen
Statements (26)
| Predicate | Object |
|---|---|
| instanceOf |
concept in finite group theory
ⓘ
group-theoretic construction ⓘ series of subgroups ⓘ |
| analyzes | nilpotent structure of a group ⓘ |
| appearsIn |
finite group theory textbooks
ⓘ
research on the classification of finite groups ⓘ |
| captures | successive nilpotent layers of a group ⓘ |
| consistsOf | characteristic subgroups ⓘ |
| definedOn | finite groups ⓘ |
| generalizes | Fitting subgroup ⓘ |
| hasFirstTerm | Fitting subgroup ⓘ |
| hasProperty |
each term is characteristic in the group
ⓘ
each term is normal in the group ⓘ |
| is |
ascending series of subgroups
ⓘ
characteristic series ⓘ |
| isToolFor |
analyzing normal subgroup structure
ⓘ
decomposing group structure ⓘ |
| namedAfter | Hans Fitting ⓘ |
| relatedTo |
Fitting height
ⓘ
lower central series ⓘ nilpotent length ⓘ upper central series ⓘ |
| terminatesFor | finite solvable groups ⓘ |
| usedIn |
local analysis of finite groups
ⓘ
study of nilpotent groups ⓘ study of solvable groups ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Fitting series Description of subject: The Fitting series is a sequence of characteristic subgroups of a finite group that generalizes the Fitting subgroup to analyze the group's nilpotent structure layer by layer.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.