Monster group construction (with collaborators)
E29422
Monster group construction (with collaborators) is the collaborative mathematical work led by John H. Conway that provided one of the first explicit constructions of the largest sporadic simple group, known as the Monster.
Statements (43)
| Predicate | Object |
|---|---|
| instanceOf |
group theory construction
ⓘ
mathematical work ⓘ research project ⓘ |
| aimsAt | explicit construction of the Monster group ⓘ |
| associatedWith |
Conway–Norton collaboration
ⓘ
Cambridge University ⓘ
surface form:
University of Cambridge
|
| contributesTo | classification of finite simple groups ⓘ |
| dealsWith |
largest sporadic simple group
ⓘ
sporadic simple groups ⓘ |
| documentedIn | research papers on the Monster group ⓘ |
| focusesOn |
explicit realization of the Monster as a concrete group
ⓘ
internal structure of the Monster group ⓘ |
| hasContributor |
Robert T. Curtis
NERFINISHED
ⓘ
S. P. Norton ⓘ Simon P. Norton ⓘ Stephen Norton ⓘ |
| hasField |
algebra
ⓘ
finite group theory ⓘ group theory ⓘ |
| hasImpactOn |
explicit constructions of other sporadic groups
ⓘ
subsequent work on Monstrous Moonshine ⓘ |
| hasKeyConcept |
Monster group
ⓘ
simple group ⓘ sporadic group ⓘ |
| hasLeader | John H. Conway ⓘ |
| hasOutcome |
detailed structural information about the Monster group
ⓘ
verification of properties of the Monster group ⓘ |
| hasSubject |
finite simple groups
ⓘ
largest sporadic simple group ⓘ |
| involves |
analysis of centralizers of elements in the Monster
ⓘ
computational group theory techniques ⓘ construction of subgroups of the Monster ⓘ |
| language | mathematics ⓘ |
| ledBy | John H. Conway ⓘ |
| produced | one of the first explicit constructions of the Monster ⓘ |
| relatedTo |
Conway groups
ⓘ
Leech lattice ⓘ moonshine theory ⓘ |
| studies | Monster group ⓘ |
| timePeriod | late 1970s ⓘ |
| usesMethod |
explicit generators and relations
ⓘ
matrix representations ⓘ permutation representations ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.