Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
finite groups
|
| gptkbp:category |
group theory theorems
|
| gptkbp:field |
group theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Lagrange's theorem
|
| gptkbp:implies |
the order of any element divides the order of the group
|
| gptkbp:namedAfter |
gptkb:Joseph-Louis_Lagrange
|
| gptkbp:publishedIn |
1770s
|
| gptkbp:relatedTo |
gptkb:Cauchy's_theorem
gptkb:Sylow_theorems |
| gptkbp:state |
The order of a subgroup divides the order of the group
|
| gptkbp:usedIn |
gptkb:mathematics
abstract algebra |
| gptkbp:bfsParent |
gptkb:Joseph-Louis_Lagrange
gptkb:Group_theory gptkb:Joseph_Louis_Lagrange |
| gptkbp:bfsLayer |
5
|