The Classification of Finite Simple Groups

GPTKB entity

Statements (29)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs gptkb:Enormous_Theorem
gptkbp:completedIn 1980s
gptkbp:describes classification of all finite simple groups
gptkbp:field group theory
finite group theory
https://www.w3.org/2000/01/rdf-schema#label The Classification of Finite Simple Groups
gptkbp:influenced modern algebra
mathematical classification projects
gptkbp:notableFor largest collaborative proof in mathematics
gptkbp:proofContributors gptkb:John_G._Thompson
gptkb:Ronald_Solomon
gptkb:Michael_Aschbacher
gptkb:Richard_Lyons
gptkb:Daniel_Gorenstein
gptkbp:proofLength over 10,000 pages
gptkbp:relatedTo gptkb:Weyl_group
gptkb:group_of_people
cyclic group
sporadic group
gptkbp:result every finite simple group is either cyclic of prime order, alternating group of degree at least 5, a group of Lie type, or one of 26 sporadic groups
gptkbp:significance major achievement in 20th-century mathematics
gptkbp:status proof revised and simplified since 2004
gptkbp:surveyedBy gptkb:Aschbacher:_Finite_Group_Theory_(book)
gptkb:Gorenstein,_Lyons,_Solomon:_The_Classification_of_the_Finite_Simple_Groups_(book_series)
gptkb:Gorenstein:_Finite_Simple_Groups:_An_Introduction_to_Their_Classification_(book)
gptkb:Wilson:_The_Finite_Simple_Groups_(book)
gptkbp:bfsParent gptkb:Daniel_Gorenstein
gptkbp:bfsLayer 5