M
E656673
M is the standard notation for the Monster group, the largest sporadic simple group in group theory and a central object in the study of finite simple groups and monstrous moonshine.
All labels observed (1)
| Label | Occurrences |
|---|---|
| M canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T7338371 — 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: M Context triple: [Monster group, symbol, M]
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A.
M
M is a functional data mashup and query language used in Microsoft Power BI and related tools for data transformation and preparation.
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B.
M
M is an experimental musical composition by avant-garde American composer John Cage, reflecting his innovative approaches to sound and structure.
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C.
M
M is the codename for James Bond’s stern and authoritative superior who heads the British Secret Service in the 007 franchise.
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D.
M
"M" is a 1951 American crime thriller film directed by Joseph Losey, adapted from Fritz Lang’s 1931 classic, in which David Wayne portrays a hunted child murderer.
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E.
M
M is a New York City Subway service that runs along the IND Sixth Avenue Line in Manhattan and connects Brooklyn and Queens.
- 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: M Target entity description: M is the standard notation for the Monster group, the largest sporadic simple group in group theory and a central object in the study of finite simple groups and monstrous moonshine.
-
A.
M
M is the codename for James Bond’s stern and authoritative superior who heads the British Secret Service in the 007 franchise.
-
B.
M
M is a functional data mashup and query language used in Microsoft Power BI and related tools for data transformation and preparation.
-
C.
M
M is an experimental musical composition by avant-garde American composer John Cage, reflecting his innovative approaches to sound and structure.
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D.
M
M is the New York Stock Exchange ticker symbol for Macy's, Inc., a major American department store chain.
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E.
M
M is a New York City Subway service that runs along the IND Sixth Avenue Line in Manhattan and connects Brooklyn and Queens.
- F. None of above. chosen
Statements (56)
| Predicate | Object |
|---|---|
| instanceOf |
Monster group
ⓘ
finite simple group ⓘ sporadic simple group ⓘ |
| actsOn | 196883-dimensional complex vector space ⓘ |
| alternativeName |
Fischer–Griess Monster
ⓘ
Friendly Giant ⓘ Griess Monster ⓘ Monster ⓘ |
| constructedAs | automorphism group of a 196884-dimensional commutative nonassociative algebra ⓘ |
| constructedBy | Robert Griess ⓘ |
| constructionYear | 1980 ⓘ |
| containsSubgroup |
Baby Monster group B
ⓘ
Conway group Co_1 ⓘ
linked to:
Conway groups
Fischer group Fi_24' ⓘ
linked to:
Fischer group Fi24′
many other sporadic simple groups ⓘ |
| field |
finite group theory
ⓘ
group theory ⓘ |
| hasConjugacyClasses | 194 ⓘ |
| hasIrreducibleComplexCharacters | 194 ⓘ |
| hasNextComplexRepresentationDimension | 21296876 ⓘ |
| hasPrimeDivisor |
11
ⓘ
13 ⓘ 17 ⓘ 19 ⓘ 2 ⓘ 23 ⓘ 29 ⓘ 3 ⓘ 31 ⓘ 41 ⓘ 47 ⓘ 5 ⓘ 59 ⓘ 7 ⓘ 71 ⓘ |
| hasSchurMultiplierOrder | 1 ⓘ |
| hasSmallestNontrivialComplexRepresentationDimension | 196883 ⓘ |
| hasTrivialCenter | true ⓘ |
| hasTrivialOuterAutomorphismGroup | true ⓘ |
| isAutomorphismGroupOf |
Monster vertex operator algebra
ⓘ
moonshine module V^natural ⓘ |
| isCentralObjectIn |
classification of finite simple groups
ⓘ
monstrous moonshine conjectures ⓘ
linked to:
Monstrous Moonshine conjecture
|
| isLargestKnownFiniteSimpleGroup | true ⓘ |
| isLargestOf | sporadic simple groups ⓘ |
| isLargestSporadicSimpleGroup | true ⓘ |
| isNonAbelian | true ⓘ |
| isPerfect | true ⓘ |
| isRelatedTo |
modular functions
ⓘ
modular j-invariant ⓘ monstrous moonshine ⓘ vertex operator algebras ⓘ |
| isSimple | true ⓘ |
| memberOf |
sporadic groups
ⓘ
linked to:
sporadic simple groups
|
| order | 808017424794512875886459904961710757005754368000000000 ⓘ |
| orderFactorization | 2^46 · 3^20 · 5^9 · 7^6 · 11^2 · 13^3 · 17 · 19 · 23 · 29 · 31 · 41 · 47 · 59 · 71 ⓘ |
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: M Description of subject: M is the standard notation for the Monster group, the largest sporadic simple group in group theory and a central object in the study of finite simple groups and monstrous moonshine.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.