Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Tits_system
|
| gptkbp:application |
classification of finite simple groups
structure theory of algebraic groups |
| gptkbp:consistsOf |
pair of subgroups (B,N)
|
| gptkbp:field |
group theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
BN-pair
|
| gptkbp:introduced |
gptkb:Jacques_Tits
|
| gptkbp:property |
B and N generate the group G
B is a solvable subgroup N normalizes B N/H is a Coxeter group intersection of B and N is called H |
| gptkbp:relatedTo |
gptkb:Weyl_group
gptkb:Bruhat_decomposition |
| gptkbp:usedIn |
theory of algebraic groups
theory of finite groups of Lie type |
| gptkbp:bfsParent |
gptkb:Tits_building
gptkb:Tits_system |
| gptkbp:bfsLayer |
7
|