Lagrange's theorem (group theory)
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
finite groups
|
| gptkbp:category |
theorems in group theory
|
| gptkbp:consequence |
groups of prime order are cyclic
|
| gptkbp:field |
abstract algebra
group theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Lagrange's theorem (group theory)
|
| gptkbp:implies |
the order of any element divides the order of the group
|
| gptkbp:namedAfter |
gptkb:Joseph-Louis_Lagrange
|
| gptkbp:publishedIn |
1770
|
| gptkbp:relatedTo |
cosets
index of a subgroup |
| gptkbp:state |
the order of a subgroup divides the order of the group
|
| gptkbp:usedIn |
proofs of Cauchy's theorem
proofs of Sylow theorems |
| gptkbp:bfsParent |
gptkb:Joseph-Louis_Lagrange
gptkb:Joseph_Louis_Lagrange |
| gptkbp:bfsLayer |
5
|