Conway groups

E29418

Conway groups are a set of three closely related sporadic simple groups discovered by John H. Conway in the study of symmetries of the Leech lattice in group theory.

All labels observed (7)

How this entity was disambiguated

Statements (48)

Predicate Object
instanceOf family of sporadic simple groups
finite group
finite simple group
finite simple group
finite simple group
lattice in 24-dimensional Euclidean space
mathematical concept
mathematician
sporadic simple group
sporadic simple group
sporadic simple group
classification part of the 26 sporadic simple groups
consistOf Co1
Co2
Co3
containsSubgroup Conway group Co1
linked to: Conway groups

Conway group Co2
linked to: Conway groups

Conway group Co3
linked to: Conway groups
definedOver finite sets
dimension 24
discoveredBy John Horton Conway
linked to: John H. Conway
discoveryContext study of symmetries of the Leech lattice
field group theory
group theory
hasAutomorphismGroup automorphism group of the Leech lattice
linked to: Conway groups
hasCardinality 3
hasMember Conway group Co1
linked to: Conway groups

Conway group Co2
linked to: Conway groups

Conway group Co3
linked to: Conway groups
hasProperty centerless
finite simple groups
non-abelian
non-abelian
non-abelian
non-abelian simple groups
isSubgroupOf automorphism group of the Leech lattice
linked to: Conway groups

automorphism group of the Leech lattice
linked to: Conway groups

automorphism group of the Leech lattice
isSubsetOf sporadic simple groups
knownFor discovery of Conway groups
namedAfter John Horton Conway
linked to: John H. Conway
order 4157776806543360000
42305421312000
495766656000
relatedTo Leech lattice
Monster group
automorphism group of the Leech lattice
linked to: Conway groups
yearDiscoveredApprox 1960s

How these facts were elicited

Referenced by (21)

Full triples — surface form annotated when it differs from this entity's canonical label.

John H. Conway notableWork Conway groups
John Horton Conway notableWork Conway group
subject linked to: Horton
linked to: Conway groups
Conway groups relatedTo automorphism group of the Leech lattice
linked to: Conway groups
Conway groups hasMember Conway group Co1
linked to: Conway groups
Conway groups hasMember Conway group Co2
linked to: Conway groups
Conway groups hasMember Conway group Co3
linked to: Conway groups
Conway group Co1 isSubgroupOf automorphism group of the Leech lattice
subject linked to: Conway groups
linked to: Conway groups
Conway group Co2 isSubgroupOf automorphism group of the Leech lattice
subject linked to: Conway groups
linked to: Conway groups
automorphism group of the Leech lattice containsSubgroup Conway group Co1
subject linked to: Conway groups
linked to: Conway groups
automorphism group of the Leech lattice containsSubgroup Conway group Co2
subject linked to: Conway groups
linked to: Conway groups
automorphism group of the Leech lattice containsSubgroup Conway group Co3
subject linked to: Conway groups
linked to: Conway groups
Leech lattice hasAutomorphismGroup automorphism group of the Leech lattice
subject linked to: Conway groups
linked to: Conway groups
John H. Conway notableWork Conway groups
subject linked to: John
John H. Conway hasConcept Conway group
subject linked to: John
linked to: Conway groups
Co1 isSubgroupOf Conway group Co0
linked to: Conway groups
Leech lattice automorphismGroup Conway group Co0
linked to: Conway groups
Leech lattice automorphismGroup Conway group Co1
linked to: Conway groups
Leech lattice automorphismGroup Conway group Co3
linked to: Conway groups
Leech lattice relatedTo Conway groups
Monster group hasSubgroup Conway group Co1
linked to: Conway groups